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31797144013 = 3147673071061
BaseRepresentation
bin11101100111010000…
…011110100111001101
310001001222221021111111
4131213100132213031
51010110032102023
622335111052021
72203651156525
oct354720364715
9101058837444
1031797144013
1112537727a18
1261b4971011
132cc97c521b
141778dba685
15c617bb00d
hex76741e9cd

31797144013 has 32 divisors (see below), whose sum is σ = 34164523008. Its totient is φ = 29542708800.

The previous prime is 31797143941. The next prime is 31797144019. The reversal of 31797144013 is 31044179713.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31797144013 is a prime.

It is a super-4 number, since 4×317971440134 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31797144019) 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, 29968503 + ... + 29969563.

It is an arithmetic number, because the mean of its divisors is an integer number (1067641344).

Almost surely, 231797144013 is an apocalyptic number.

It is an amenable number.

31797144013 is a deficient number, since it is larger than the sum of its proper divisors (2367378995).

31797144013 is a wasteful number, since it uses less digits than its factorization.

31797144013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513.

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 31797144013 in words is "thirty-one billion, seven hundred ninety-seven million, one hundred forty-four thousand, thirteen".

Divisors: 1 31 47 67 307 1061 1457 2077 3149 9517 14429 20569 32891 49867 71087 97619 325727 447299 637639 966743 1545877 2203697 3341089 10097537 15309169 21823709 29969033 103573759 474584239 676534979 1025714323 31797144013