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31740390864 = 24337131515347
BaseRepresentation
bin11101100011110111…
…111110110111010000
310000221001010220211000
4131203313332313100
51010001020001424
622325322422000
72202361604460
oct354367766720
9100831126730
1031740390864
1112508694496
126199961900
132cbab14090
141771645ba0
15c5b80a3c9
hex763dfedd0

31740390864 has 320 divisors, whose sum is σ = 112894996480. Its totient is φ = 8314099200.

The previous prime is 31740390863. The next prime is 31740391003. The reversal of 31740390864 is 46809304713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31740390863) 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 63 ways as a sum of consecutive naturals, for example, 5933439 + ... + 5938785.

It is an arithmetic number, because the mean of its divisors is an integer number (352796864).

Almost surely, 231740390864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31740390864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56447498240).

31740390864 is an abundant number, since it is smaller than the sum of its proper divisors (81154605616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31740390864 is a wasteful number, since it uses less digits than its factorization.

31740390864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 31740390864 in words is "thirty-one billion, seven hundred forty million, three hundred ninety thousand, eight hundred sixty-four".