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157871923561 = 1124128812
BaseRepresentation
bin1001001100000111100…
…1100110000101101001
3120002111100212122221001
42103001321212011221
510041310203023221
6200305251115001
714256133131502
oct2230171460551
9502440778831
10157871923561
1160a53648900
122671aba2a61
1311b6c3cb4b1
1478d9039ba9
15418ec2b391
hex24c1e66169

157871923561 has 27 divisors (see below), whose sum is σ = 178066396837. Its totient is φ = 139860512000.

The previous prime is 157871923537. The next prime is 157871923591. The reversal of 157871923561 is 165329178751.

The square root of 157871923561 is 397331.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 99520689961 + 58351233600 = 315469^2 + 241560^2 .

It is not a de Polignac number, because 157871923561 - 217 = 157871792489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157871923511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179195841 + ... + 179196721.

Almost surely, 2157871923561 is an apocalyptic number.

157871923561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157871923561 is the 397331-st square number.

157871923561 is the 198666-th centered octagonal number.

It is an amenable number.

157871923561 is a deficient number, since it is larger than the sum of its proper divisors (20194473276).

157871923561 is an frugal number, since it uses more digits than its factorization.

157871923561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 933 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 55.

The spelling of 157871923561 in words is "one hundred fifty-seven billion, eight hundred seventy-one million, nine hundred twenty-three thousand, five hundred sixty-one".

Divisors: 1 11 41 121 451 881 1681 4961 9691 18491 36121 106601 203401 397331 776161 1480961 4370641 8537771 16290571 31822601 93915481 179196281 350048611 1304726641 3850534721 14351993051 157871923561