Search a number
-
+
15006611056656 = 243312637730347
BaseRepresentation
bin1101101001011111111110…
…1110001010100000010000
31222010121200112012212001210
43122113333232022200100
53431332014412303111
651525535243300120
73106122545224212
oct332277756124020
958117615185053
1015006611056656
1148662a47a126a
12182446b81a640
1384b16aa8591b
1439c4769085b2
151b0552c510a6
hexda5ffb8a810

15006611056656 has 20 divisors (see below), whose sum is σ = 38767078563152. Its totient is φ = 5002203685536.

The previous prime is 15006611056643. The next prime is 15006611056663. The reversal of 15006611056656 is 65665011660051.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 312637730347 = 15006611056656 / (1 + 5 + 0 + 0 + 6 + 6 + 1 + 1 + 0 + 5 + 6 + 6 + 5 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156318865126 + ... + 156318865221.

Almost surely, 215006611056656 is an apocalyptic number.

15006611056656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15006611056656 is an abundant number, since it is smaller than the sum of its proper divisors (23760467506496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15006611056656 is a wasteful number, since it uses less digits than its factorization.

15006611056656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312637730358 (or 312637730352 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 15006611056656 in words is "fifteen trillion, six billion, six hundred eleven million, fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 312637730347 625275460694 937913191041 1250550921388 1875826382082 2501101842776 3751652764164 5002203685552 7503305528328 15006611056656