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10152145344 = 263114806887
BaseRepresentation
bin10010111010001110…
…10111000111000000
3222012112001102022010
421131013113013000
5131242422122334
64355215412520
7506402545245
oct113507270700
928175042263
1010152145344
11433a692070
121b73b24140
13c5a38a9c3
146c44495cc
153e64130e9
hex25d1d71c0

10152145344 has 56 divisors (see below), whose sum is σ = 29302789248. Its totient is φ = 3076407040.

The previous prime is 10152145343. The next prime is 10152145369. The reversal of 10152145344 is 44354125101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152145343) 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, 2401332 + ... + 2405555.

Almost surely, 210152145344 is an apocalyptic number.

It is an amenable number.

10152145344 is an abundant number, since it is smaller than the sum of its proper divisors (19150643904).

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

10152145344 is a wasteful number, since it uses less digits than its factorization.

10152145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806913 (or 4806903 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 10152145344 in words is "ten billion, one hundred fifty-two million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4806887 9613774 14420661 19227548 28841322 38455096 52875757 57682644 76910192 105751514 115365288 153820384 158627271 211503028 230730576 307640768 317254542 423006056 461461152 634509084 846012112 922922304 1269018168 1692024224 2538036336 3384048448 5076072672 10152145344