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131772711613425 = 35297179101190433
BaseRepresentation
bin11101111101100010111001…
…101010101011001111110001
3122021120100101211122210012020
4131331202321222223033301
5114232431003133112200
61144131314212022053
736520156430616261
oct3575427152531761
9567510354583166
10131772711613425
1138a94547442113
1212942526601929
13586b162156a8c
142477b946d97a1
151037a9d5a3ea0
hex77d8b9aab3f1

131772711613425 has 48 divisors (see below), whose sum is σ = 221339907714240. Its totient is φ = 69165684080640.

The previous prime is 131772711613409. The next prime is 131772711613453. The reversal of 131772711613425 is 524316117277131.

It is not a de Polignac number, because 131772711613425 - 24 = 131772711613409 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49292992 + ... + 51897441.

It is an arithmetic number, because the mean of its divisors is an integer number (4611248077380).

Almost surely, 2131772711613425 is an apocalyptic number.

131772711613425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131772711613425 is a deficient number, since it is larger than the sum of its proper divisors (89567196100815).

131772711613425 is a wasteful number, since it uses less digits than its factorization.

131772711613425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101190722 (or 101190717 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The spelling of 131772711613425 in words is "one hundred thirty-one trillion, seven hundred seventy-two billion, seven hundred eleven million, six hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 3 5 15 25 75 97 179 291 485 537 895 1455 2425 2685 4475 7275 13425 17363 52089 86815 260445 434075 1302225 101190433 303571299 505952165 1517856495 2529760825 7589282475 9815472001 18113087507 29446416003 49077360005 54339262521 90565437535 147232080015 245386800025 271696312605 452827187675 736160400075 1358481563025 1756969488179 5270908464537 8784847440895 26354542322685 43924237204475 131772711613425