Search a number
-
+
972819587831 = 71316764013923
BaseRepresentation
bin11100010100000001001…
…00001110001011110111
310110000000110200102110212
432022000210032023313
5111414313303302311
62022523535540035
7130166243026610
oct16120044161367
93400013612425
10972819587831
11345630328a43
1213865738a61b
13709760cb610
1435128680c07
151a48a445c8b
hexe28090e2f7

972819587831 has 16 divisors (see below), whose sum is σ = 1204485993984. Its totient is φ = 765094395744.

The previous prime is 972819587809. The next prime is 972819587851. The reversal of 972819587831 is 138785918279.

It is a de Polignac number, because none of the positive numbers 2k-972819587831 is a prime.

It is a super-2 number, since 2×9728195878312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972819587851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31991765 + ... + 32022158.

It is an arithmetic number, because the mean of its divisors is an integer number (75280374624).

Almost surely, 2972819587831 is an apocalyptic number.

972819587831 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

972819587831 is a deficient number, since it is larger than the sum of its proper divisors (231666406153).

972819587831 is a wasteful number, since it uses less digits than its factorization.

972819587831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64014110.

The product of its digits is 60963840, while the sum is 68.

The spelling of 972819587831 in words is "nine hundred seventy-two billion, eight hundred nineteen million, five hundred eighty-seven thousand, eight hundred thirty-one".

Divisors: 1 7 13 91 167 1169 2171 15197 64013923 448097461 832180999 5825266993 10690325141 74832275987 138974226833 972819587831