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31570081408 = 271920536323
BaseRepresentation
bin11101011001101110…
…010011011010000000
310000111011200022011101
4131121232103122000
51004123420101113
622300400224144
72165223156445
oct353156233200
9100434608141
1031570081408
1112430540478
12615090b054
132c91753c58
141756b919cc
15c4b8b82dd
hex759b93680

31570081408 has 64 divisors (see below), whose sum is σ = 66246429600. Its totient is φ = 14944601088.

The previous prime is 31570081381. The next prime is 31570081447. The reversal of 31570081408 is 80418007513.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 4989735 + ... + 4996057.

Almost surely, 231570081408 is an apocalyptic number.

31570081408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31570081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33123214800).

31570081408 is an abundant number, since it is smaller than the sum of its proper divisors (34676348192).

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

31570081408 is a wasteful number, since it uses less digits than its factorization.

31570081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 31570081408 in words is "thirty-one billion, five hundred seventy million, eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2053 2432 4106 6323 8212 12646 16424 25292 32848 39007 50584 65696 78014 101168 120137 131392 156028 202336 240274 262784 312056 404672 480548 624112 809344 961096 1248224 1922192 2496448 3844384 4992896 7688768 12981119 15377536 25962238 51924476 103848952 207697904 246641261 415395808 493282522 830791616 986565044 1661583232 1973130088 3946260176 7892520352 15785040704 31570081408