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31393739424 = 2537118672467
BaseRepresentation
bin11101001111001101…
…100111001010100000
310000000212212012102210
4131033031213022200
51003243244130144
622231100442120
72160652245045
oct351715471240
9100025765383
1031393739424
111234aa470a3
126101849340
132c64061098
14173b5ab1cc
15c3b183ab9
hex74f3672a0

31393739424 has 96 divisors (see below), whose sum is σ = 83647904256. Its totient is φ = 10307485440.

The previous prime is 31393739413. The next prime is 31393739437. The reversal of 31393739424 is 42493739313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12724239 + ... + 12726705.

It is an arithmetic number, because the mean of its divisors is an integer number (871332336).

Almost surely, 231393739424 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 31393739424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41823952128).

31393739424 is an abundant number, since it is smaller than the sum of its proper divisors (52254164832).

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

31393739424 is a wasteful number, since it uses less digits than its factorization.

31393739424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4410 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 48.

The spelling of 31393739424 in words is "thirty-one billion, three hundred ninety-three million, seven hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 1867 2272 2467 3408 3734 4934 5601 6816 7401 7468 9868 11202 14802 14936 19736 22404 29604 29872 39472 44808 59208 59744 78944 89616 118416 132557 175157 179232 236832 265114 350314 397671 525471 530228 700628 795342 1050942 1060456 1401256 1590684 2101884 2120912 2802512 3181368 4203768 4241824 4605889 5605024 6362736 8407536 9211778 12725472 13817667 16815072 18423556 27635334 36847112 55270668 73694224 110541336 147388448 221082672 327018119 442165344 654036238 981054357 1308072476 1962108714 2616144952 3924217428 5232289904 7848434856 10464579808 15696869712 31393739424