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157125812909 = 13172322295869
BaseRepresentation
bin1001001001010101101…
…1011010001010101101
3120000120100221022112012
42102111123122022231
510033243202003114
6200103235251005
714231503242002
oct2222533321255
9500510838465
10157125812909
116070047492a
1226551149a65
1311a809660c0
147867cdb8a9
15414949b63e
hex24956da2ad

157125812909 has 48 divisors (see below), whose sum is σ = 188144535600. Its totient is φ = 129980049408.

The previous prime is 157125812897. The next prime is 157125812917. The reversal of 157125812909 is 909218521751.

157125812909 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 80048809 + 157045764100 = 8947^2 + 396290^2 .

It is not a de Polignac number, because 157125812909 - 212 = 157125808813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157125812959) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26769227 + ... + 26775095.

It is an arithmetic number, because the mean of its divisors is an integer number (3919677825).

Almost surely, 2157125812909 is an apocalyptic number.

It is an amenable number.

157125812909 is a deficient number, since it is larger than the sum of its proper divisors (31018722691).

157125812909 is a wasteful number, since it uses less digits than its factorization.

157125812909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 50.

The spelling of 157125812909 in words is "one hundred fifty-seven billion, one hundred twenty-five million, eight hundred twelve thousand, nine hundred nine".

Divisors: 1 13 17 23 221 229 299 391 529 2977 3893 5083 5267 5869 6877 8993 50609 68471 76297 89539 99773 116909 121141 134987 1164007 1297049 1344001 1574833 1754831 2059397 2294779 3104701 17472013 22848017 26772161 29832127 30912023 40361113 52779917 297024221 401856299 525504391 686138921 710976529 6831557083 9242694877 12086600993 157125812909