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1060161838296 = 2331143433215681
BaseRepresentation
bin11110110110101101001…
…00011101110011011000
310202100110111112110122020
433123112210131303120
5114332202412311141
62131010455254440
7136410540640341
oct17332644356330
93670414473566
101060161838296
113796807a0510
1215157207a420
1378c8540b122
14394525c70c8
151c89d2d6266
hexf6d691dcd8

1060161838296 has 128 divisors (see below), whose sum is σ = 2965437699840. Its totient is φ = 313063833600.

The previous prime is 1060161838283. The next prime is 1060161838297. The reversal of 1060161838296 is 6928381610601.

It is a super-2 number, since 2×10601618382962 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1060161838297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4807576 + ... + 5023256.

It is an arithmetic number, because the mean of its divisors is an integer number (23167482030).

Almost surely, 21060161838296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1060161838296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482718849920).

1060161838296 is an abundant number, since it is smaller than the sum of its proper divisors (1905275861544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1060161838296 is a wasteful number, since it uses less digits than its factorization.

1060161838296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216177 (or 216173 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 1060161838296 in words is "one trillion, sixty billion, one hundred sixty-one million, eight hundred thirty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 433 473 516 866 946 1032 1299 1419 1732 1892 2598 2838 3464 3784 4763 5196 5676 9526 10392 11352 14289 18619 19052 28578 37238 38104 55857 57156 74476 111714 114312 148952 204809 215681 223428 409618 431362 446856 614427 647043 819236 862724 1228854 1294086 1638472 1725448 2372491 2457708 2588172 4744982 4915416 5176344 7117473 9274283 9489964 14234946 18548566 18979928 27822849 28469892 37097132 55645698 56939784 74194264 93389873 102017113 111291396 186779746 204034226 222582792 280169619 306051339 373559492 408068452 560339238 612102678 747118984 816136904 1027288603 1120678476 1224205356 2054577206 2241356952 2448410712 3081865809 4015764539 4109154412 6163731618 8031529078 8218308824 12047293617 12327463236 16063058156 24094587234 24654926472 32126116312 44173409929 48189174468 88346819858 96378348936 132520229787 176693639716 265040459574 353387279432 530080919148 1060161838296