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153125863969 = 1323129712
BaseRepresentation
bin1000111010011100000…
…0110100001000100001
3112122020121022212010011
42032213000310020201
510002100210121334
6154202310404521
714030413240201
oct2164700641041
9478217285104
10153125863969
1159a38616001
1225815660741
1311594061a00
1475a899c401
153eb3236564
hex23a7034221

153125863969 has 27 divisors (see below), whose sum is σ = 171508754547. Its totient is φ = 136646499600.

The previous prime is 153125863951. The next prime is 153125863999. The reversal of 153125863969 is 969368521351.

The square root of 153125863969 is 391313.

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

It can be written as a sum of positive squares in only one way, i.e., 22651755025 + 130474108944 = 150505^2 + 361212^2 .

It is not a de Polignac number, because 153125863969 - 211 = 153125861921 is a prime.

It is a super-2 number, since 2×1531258639692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153125863999) 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, 157698654 + ... + 157699624.

Almost surely, 2153125863969 is an apocalyptic number.

153125863969 is the 391313-rd square number.

153125863969 is the 195657-th centered octagonal number.

It is an amenable number.

153125863969 is a deficient number, since it is larger than the sum of its proper divisors (18382890578).

153125863969 is an frugal number, since it uses more digits than its factorization.

153125863969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1015 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 58.

The spelling of 153125863969 in words is "one hundred fifty-three billion, one hundred twenty-five million, eight hundred sixty-three thousand, nine hundred sixty-nine".

Divisors: 1 13 31 169 403 961 971 5239 12493 12623 30101 162409 164099 391313 933131 942841 5087069 12130703 12256933 29228071 157699139 159340129 379964923 906070201 4939543999 11778912613 153125863969