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10075921152 = 283111192699
BaseRepresentation
bin10010110001001001…
…00101101100000000
3222000012121211100220
421120210211230000
5131113413434102
64343453543040
7504455626263
oct113044455400
928005554326
1010075921152
11430065a770
121b524a4a80
13c4765012b
146b8286cda
153de8a81bc
hex258925b00

10075921152 has 72 divisors (see below), whose sum is σ = 29254545600. Its totient is φ = 3053306880.

The previous prime is 10075921139. The next prime is 10075921157. The reversal of 10075921152 is 25112957001.

It is a super-2 number, since 2×100759211522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10075921157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587902 + ... + 604797.

Almost surely, 210075921152 is an apocalyptic number.

10075921152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10075921152 is an abundant number, since it is smaller than the sum of its proper divisors (19178624448).

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

10075921152 is a wasteful number, since it uses less digits than its factorization.

10075921152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192729 (or 1192715 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The spelling of 10075921152 in words is "ten billion, seventy-five million, nine hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 1192699 2385398 3578097 4770796 7156194 9541592 13119689 14312388 19083184 26239378 28624776 38166368 39359067 52478756 57249552 76332736 78718134 104957512 114499104 152665472 157436268 209915024 228998208 305330944 314872536 419830048 457996416 629745072 839660096 915992832 1259490144 1679320192 2518980288 3358640384 5037960576 10075921152