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157863933432 = 23322192554631
BaseRepresentation
bin1001001100000101101…
…1000111010111111000
3120002110210211201112100
42103001123013113320
510041301131332212
6200304403543400
714256005202612
oct2230133072770
9502423751470
10157863933432
1160a4a090797
122671838ab60
1311b6a8616ca
1478d7d59db2
15418e19dbdc
hex24c16c75f8

157863933432 has 24 divisors (see below), whose sum is σ = 427548153240. Its totient is φ = 52621311120.

The previous prime is 157863933391. The next prime is 157863933457. The reversal of 157863933432 is 234339368751.

157863933432 is a `hidden beast` number, since 1 + 578 + 6 + 3 + 9 + 3 + 34 + 32 = 666.

157863933432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×1578639334324 (a number of 46 digits) contains 4444 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 5 ways as a sum of consecutive naturals, for example, 1096277244 + ... + 1096277387.

It is an arithmetic number, because the mean of its divisors is an integer number (17814506385).

Almost surely, 2157863933432 is an apocalyptic number.

157863933432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157863933432 is an abundant number, since it is smaller than the sum of its proper divisors (269684219808).

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

157863933432 is a wasteful number, since it uses less digits than its factorization.

157863933432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192554643 (or 2192554636 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 157863933432 in words is "one hundred fifty-seven billion, eight hundred sixty-three million, nine hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2192554631 4385109262 6577663893 8770218524 13155327786 17540437048 19732991679 26310655572 39465983358 52621311144 78931966716 157863933432