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84549117344 = 2561227190811
BaseRepresentation
bin100111010111110000…
…1010010010110100000
322002020101002011211112
41032233201102112200
52341124033223334
6102501421002452
76052130432246
oct1165741222640
9262211064745
1084549117344
113294785529a
12144773b3428
137c85748023
144140dcc796
1522eca604ce
hex13af8525a0

84549117344 has 48 divisors (see below), whose sum is σ = 169931061216. Its totient is φ = 41398137600.

The previous prime is 84549117343. The next prime is 84549117361. The reversal of 84549117344 is 44371194548.

It is a super-2 number, since 2×845491173442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84549117292 and 84549117301.

It is not an unprimeable number, because it can be changed into a prime (84549117343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347699 + ... + 538509.

It is an arithmetic number, because the mean of its divisors is an integer number (3540230442).

Almost surely, 284549117344 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 84549117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84965530608).

84549117344 is an abundant number, since it is smaller than the sum of its proper divisors (85381943872).

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

84549117344 is a wasteful number, since it uses less digits than its factorization.

84549117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191109 (or 191101 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The spelling of 84549117344 in words is "eighty-four billion, five hundred forty-nine million, one hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 227 244 454 488 908 976 1816 1952 3632 7264 13847 27694 55388 110776 190811 221552 381622 443104 763244 1526488 3052976 6105952 11639471 23278942 43314097 46557884 86628194 93115768 173256388 186231536 346512776 372463072 693025552 1386051104 2642159917 5284319834 10568639668 21137279336 42274558672 84549117344