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156128507161 = 11217221132
BaseRepresentation
bin1001000101100111111…
…0111111010100011001
3112220222212022221020021
42101121332333110121
510024222344212121
6155420251430441
714165003262034
oct2213176772431
9486885287207
10156128507161
1160239521300
1226313155421
1311952160363
1477b169201b
1540dbb4d641
hex2459fbf519

156128507161 has 27 divisors (see below), whose sum is σ = 182387299773. Its totient is φ = 133522667520.

The previous prime is 156128507137. The next prime is 156128507173. The reversal of 156128507161 is 161705821651.

The square root of 156128507161 is 395131.

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 30670867161 + 125457640000 = 175131^2 + 354200^2 .

It is not a de Polignac number, because 156128507161 - 27 = 156128507033 is a prime.

It is a super-2 number, since 2×1561285071612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (156128507111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73888441 + ... + 73890553.

Almost surely, 2156128507161 is an apocalyptic number.

156128507161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

156128507161 is the 395131-st square number.

156128507161 is the 197566-th centered octagonal number.

It is an amenable number.

156128507161 is a deficient number, since it is larger than the sum of its proper divisors (26258792612).

156128507161 is an frugal number, since it uses more digits than its factorization.

156128507161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 43.

The spelling of 156128507161 in words is "one hundred fifty-six billion, one hundred twenty-eight million, five hundred seven thousand, one hundred sixty-one".

Divisors: 1 11 17 121 187 289 2057 2113 3179 23243 34969 35921 255673 395131 610657 4346441 4464769 6717227 49112459 73889497 75901073 540237049 834911803 1290318241 9184029833 14193500651 156128507161