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31385734016 = 2772131722643
BaseRepresentation
bin11101001110101111…
…000100101110000000
310000000022210111002012
4131032233010232000
51003234221442031
622230213112052
72160524223500
oct351657045600
9100008714065
1031385734016
111234647955a
1260bb028628
132c624ba360
14173a4c5a00
15c3a601b2b
hex74ebc4b80

31385734016 has 192 divisors, whose sum is σ = 82940896080. Its totient is φ = 11685445632.

The previous prime is 31385733991. The next prime is 31385734021. The reversal of 31385734016 is 61043758313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374791 + ... + 1397433.

Almost surely, 231385734016 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 31385734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41470448040).

31385734016 is an abundant number, since it is smaller than the sum of its proper divisors (51555162064).

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

31385734016 is a wasteful number, since it uses less digits than its factorization.

31385734016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22701 (or 22682 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 31385734016 in words is "thirty-one billion, three hundred eighty-five million, seven hundred thirty-four thousand, sixteen".