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10045150544 = 2411137016263
BaseRepresentation
bin10010101101011110…
…01101010101010000
3221221001201112000202
421112233031111100
5131033024304134
64340434234332
7503633241122
oct112657152520
927831645022
1010045150544
114295253310
121b441259a8
13c41168480
146b4157212
153dbd2ad7e
hex256bcd550

10045150544 has 80 divisors (see below), whose sum is σ = 22901284224. Its totient is φ = 4208064000.

The previous prime is 10045150543. The next prime is 10045150567. The reversal of 10045150544 is 44505154001.

10045150544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045150543) 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 15 ways as a sum of consecutive naturals, for example, 1600757 + ... + 1607019.

Almost surely, 210045150544 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 10045150544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450642112).

10045150544 is an abundant number, since it is smaller than the sum of its proper divisors (12856133680).

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

10045150544 is a wasteful number, since it uses less digits than its factorization.

10045150544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 10045150544 in words is "ten billion, forty-five million, one hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 701 1144 1402 2288 2804 5608 6263 7711 9113 11216 12526 15422 18226 25052 30844 36452 50104 61688 68893 72904 81419 100208 100243 123376 137786 145808 162838 200486 275572 325676 400972 551144 651352 801944 895609 1102288 1302704 1603888 1791218 3582436 4390363 7164872 8780726 14329744 17561452 35122904 48293993 57074719 70245808 96587986 114149438 193175972 228298876 386351944 456597752 627821909 772703888 913195504 1255643818 2511287636 5022575272 10045150544