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31679077925889 = 321132166032
BaseRepresentation
bin1110011001111110111000…
…01011111100010000000001
311011011111020102001002120100
413030333130023330100001
513123012222422112024
6151213100102233013
76446511040311162
oct714773413742001
9134144212032510
1031679077925889
11a1040266876a9
12367774b125769
13148a42a4451c4
147b73c018b769
1539e0a393e7c9
hex1ccfdc2fc401

31679077925889 has 27 divisors (see below), whose sum is σ = 46169976477027. Its totient is φ = 20931227303616.

The previous prime is 31679077925881. The next prime is 31679077925917. The reversal of 31679077925889 is 98852977097613.

The square root of 31679077925889 is 5628417.

It is a perfect power (a square), and thus also a powerful number.

31679077925889 is a `hidden beast` number, since 316 + 7 + 90 + 7 + 7 + 92 + 58 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 558210708225 + 31120867217664 = 747135^2 + 5578608^2 .

It is not a de Polignac number, because 31679077925889 - 23 = 31679077925881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31679077925881) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1908025062 + ... + 1908041664.

Almost surely, 231679077925889 is an apocalyptic number.

31679077925889 is the 5628417-th square number.

31679077925889 is the 2814209-th centered octagonal number.

It is an amenable number.

31679077925889 is a deficient number, since it is larger than the sum of its proper divisors (14490898551138).

31679077925889 is an frugal number, since it uses more digits than its factorization.

31679077925889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33438 (or 16719 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 81.

The spelling of 31679077925889 in words is "thirty-one trillion, six hundred seventy-nine billion, seventy-seven million, nine hundred twenty-five thousand, eight hundred eighty-nine".

Divisors: 1 3 9 113 339 1017 12769 16603 38307 49809 114921 149427 1876139 5628417 16885251 212003707 275659609 636011121 826978827 1908033363 2480936481 31149535817 93448607451 280345822353 3519897547321 10559692641963 31679077925889