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10152541144 = 234389331609
BaseRepresentation
bin10010111010010001…
…10111101111011000
3222012112210112020101
421131020313233120
5131243022304034
64355232105144
7506406114214
oct113510675730
928175715211
1010152541144
11433a932479
121b740951b4
13c5a498bc5
146c450d944
153e6490514
hex25d237bd8

10152541144 has 32 divisors (see below), whose sum is σ = 19697634000. Its totient is φ = 4902492672.

The previous prime is 10152541129. The next prime is 10152541169. The reversal of 10152541144 is 44114525101.

It is a super-2 number, since 2×101525411442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135189 + ... + 196420.

Almost surely, 210152541144 is an apocalyptic number.

It is an amenable number.

10152541144 is a deficient number, since it is larger than the sum of its proper divisors (9545092856).

10152541144 is a wasteful number, since it uses less digits than its factorization.

10152541144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331747 (or 331743 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 10152541144 in words is "ten billion, one hundred fifty-two million, five hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 43 86 89 172 178 344 356 712 3827 7654 15308 30616 331609 663218 1326436 2652872 14259187 28518374 29513201 57036748 59026402 114073496 118052804 236105608 1269067643 2538135286 5076270572 10152541144