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172715879281 = 112377812
BaseRepresentation
bin1010000011011010101…
…0110010101101110001
3121111210212101202002211
42200312222302231301
510312210231114111
6211202232412121
715323026515361
oct2406652625561
9544725352084
10172715879281
116728067a500
1229582247041
131339681044a
1485066409a1
15475ceba521
hex2836ab2b71

172715879281 has 9 divisors (see below), whose sum is σ = 189849751819. Its totient is φ = 157010279800.

The previous prime is 172715879279. The next prime is 172715879327. The reversal of 172715879281 is 182978517271.

It is a happy number.

The square root of 172715879281 is 415591.

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

172715879281 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 only one way, i.e., 143344774881 + 29371104400 = 378609^2 + 171380^2 .

It is not a de Polignac number, because 172715879281 - 21 = 172715879279 is a prime.

It is a super-2 number, since 2×1727158792812 (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 (172715879221) 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 8 ways as a sum of consecutive naturals, for example, 4552611 + ... + 4590391.

Almost surely, 2172715879281 is an apocalyptic number.

172715879281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

172715879281 is the 415591-st square number.

172715879281 is the 207796-th centered octagonal number.

It is an amenable number.

172715879281 is a deficient number, since it is larger than the sum of its proper divisors (17133872538).

172715879281 is an frugal number, since it uses more digits than its factorization.

172715879281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75584 (or 37792 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 58.

The spelling of 172715879281 in words is "one hundred seventy-two billion, seven hundred fifteen million, eight hundred seventy-nine thousand, two hundred eighty-one".

Divisors: 1 11 121 37781 415591 4571501 1427403961 15701443571 172715879281