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31074990961 = 72251832
BaseRepresentation
bin11100111100001101…
…101011101101110001
32222012200002002202011
4130330031223231301
51002120144202321
622135312522521
72150032031200
oct347415535561
988180062664
1031074990961
11121a7027713
126032b50441
132c12cca721
14170b117237
15c1d1beae1
hex73c36bb71

31074990961 has 9 divisors (see below), whose sum is σ = 36149894361. Its totient is φ = 26634648852.

The previous prime is 31074990883. The next prime is 31074990967. The reversal of 31074990961 is 16909947013.

The square root of 31074990961 is 176281.

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

It is not a de Polignac number, because 31074990961 - 27 = 31074990833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (31074990967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1221376 + ... + 1246558.

It is an arithmetic number, because the mean of its divisors is an integer number (4016654929).

Almost surely, 231074990961 is an apocalyptic number.

31074990961 is the 176281-st square number.

31074990961 is the 88141-st centered octagonal number.

It is an amenable number.

31074990961 is a deficient number, since it is larger than the sum of its proper divisors (5074903400).

31074990961 is an frugal number, since it uses more digits than its factorization.

31074990961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50380 (or 25190 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

Multiplying 31074990961 by its sum of digits (49), we get a square (1522674557089 = 12339672).

31074990961 divided by its sum of digits (49) gives a square (634183489 = 251832).

The spelling of 31074990961 in words is "thirty-one billion, seventy-four million, nine hundred ninety thousand, nine hundred sixty-one".

Divisors: 1 7 49 25183 176281 1233967 634183489 4439284423 31074990961