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31693751604 = 22343110932887
BaseRepresentation
bin11101100001000110…
…000100010100110100
310000210210101101210000
4131201012010110310
51004402100022404
622320535031300
72201254305114
oct354106042464
9100723341700
1031693751604
1112494329749
12618620b530
132cb1264598
141769385044
15c57696339
hex761184534

31693751604 has 120 divisors (see below), whose sum is σ = 85634329088. Its totient is φ = 10210898880.

The previous prime is 31693751603. The next prime is 31693751611. The reversal of 31693751604 is 40615739613.

It is a happy number.

31693751604 is a `hidden beast` number, since 3 + 1 + 6 + 9 + 37 + 5 + 1 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31693751604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31693751603) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10976649 + ... + 10979535.

Almost surely, 231693751604 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 31693751604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42817164544).

31693751604 is an abundant number, since it is smaller than the sum of its proper divisors (53940577484).

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

31693751604 is a wasteful number, since it uses less digits than its factorization.

31693751604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 31693751604 in words is "thirty-one billion, six hundred ninety-three million, seven hundred fifty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1093 1116 1674 2186 2511 2887 3279 3348 4372 5022 5774 6558 8661 9837 10044 11548 13116 17322 19674 25983 29511 33883 34644 39348 51966 59022 67766 77949 88533 89497 101649 103932 118044 135532 155898 177066 178994 203298 233847 268491 304947 311796 354132 357988 406596 467694 536982 609894 805473 914841 935388 1073964 1219788 1610946 1829682 2416419 2744523 3155491 3221892 3659364 4832838 5489046 6310982 7249257 9466473 9665676 10978092 12621964 14498514 18932946 28399419 28997028 37865892 56798838 85198257 97820221 113597676 170396514 195640442 255594771 293460663 340793028 391280884 511189542 586921326 880381989 1022379084 1173842652 1760763978 2641145967 3521527956 5282291934 7923437901 10564583868 15846875802 31693751604