Search a number
-
+
509270012937 = 3373677342099
BaseRepresentation
bin1110110100100101101…
…10111011010000001001
31210200111220101011101000
413122102312323100021
531320441110403222
61025542211445213
751536120454210
oct7322266732011
91720456334330
10509270012937
11186a86711414
12828495b6809
1339040829a2a
141a912444077
15d3a98989ac
hex7692dbb409

509270012937 has 32 divisors (see below), whose sum is σ = 864605696000. Its totient is φ = 290218449744.

The previous prime is 509270012903. The next prime is 509270012947. The reversal of 509270012937 is 739210072905.

It is a de Polignac number, because none of the positive numbers 2k-509270012937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 509270012892 and 509270012901.

It is not an unprimeable number, because it can be changed into a prime (509270012947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3601687 + ... + 3740412.

It is an arithmetic number, because the mean of its divisors is an integer number (27018928000).

Almost surely, 2509270012937 is an apocalyptic number.

It is an amenable number.

509270012937 is a deficient number, since it is larger than the sum of its proper divisors (355335683063).

509270012937 is a wasteful number, since it uses less digits than its factorization.

509270012937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342482 (or 7342476 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 509270012937 in words is "five hundred nine billion, two hundred seventy million, twelve thousand, nine hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 189 367 1101 2569 3303 7707 9909 23121 69363 7342099 22026297 51394693 66078891 154184079 198236673 462552237 1387656711 2694550333 8083650999 18861852331 24250952997 56585556993 72752858991 169756670979 509270012937