Search a number
-
+
256724641160052 = 223132347701180561
BaseRepresentation
bin111010010111110101011101…
…000010101001101101110100
31020122222122011122111220021220
4322113311131002221231310
5232122134031114110202
62310001401052510340
7105034512634552332
oct7227653502515564
91218878148456256
10256724641160052
117488934415676a
1224962b56a7b3b0
13b033050585350
144757778b7ab52
151ea2ee517dabc
hexe97d5d0a9b74

256724641160052 has 48 divisors (see below), whose sum is σ = 645377808153792. Its totient is φ = 78958540500480.

The previous prime is 256724641160027. The next prime is 256724641160063. The reversal of 256724641160052 is 250061146427652.

It is a junction number, because it is equal to n+sod(n) for n = 256724641159977 and 256724641160004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350224149 + ... + 350956412.

It is an arithmetic number, because the mean of its divisors is an integer number (13445371003204).

Almost surely, 2256724641160052 is an apocalyptic number.

It is an amenable number.

256724641160052 is an abundant number, since it is smaller than the sum of its proper divisors (388653166993740).

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

256724641160052 is a wasteful number, since it uses less digits than its factorization.

256724641160052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701182928 (or 701182926 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 256724641160052 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, six hundred forty-one million, one hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2347 4694 7041 9388 14082 28164 30511 61022 91533 122044 183066 366132 701180561 1402361122 2103541683 2804722244 4207083366 8414166732 9115347293 18230694586 27346041879 36461389172 54692083758 109384167516 1645670776667 3291341553334 4937012330001 6582683106668 9874024660002 19748049320004 21393720096671 42787440193342 64181160290013 85574880386684 128362320580026 256724641160052