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31253502016 = 2611478910613
BaseRepresentation
bin11101000110110110…
…101001100001000000
32222200002222101212201
4131012312221201000
51003001344031031
622205131002544
72154330245452
oct350666514100
988602871781
1031253502016
1112288872710
126082899454
132c40c9c979
141726b042d2
15c2dbd1d61
hex746da9840

31253502016 has 112 divisors (see below), whose sum is σ = 69879179520. Its totient is φ = 13746360320.

The previous prime is 31253501989. The next prime is 31253502023. The reversal of 31253502016 is 61020535213.

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, 2939526 + ... + 2950138.

Almost surely, 231253502016 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 31253502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34939589760).

31253502016 is an abundant number, since it is smaller than the sum of its proper divisors (38625677504).

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

31253502016 is a wasteful number, since it uses less digits than its factorization.

31253502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 31253502016 in words is "thirty-one billion, two hundred fifty-three million, five hundred two thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 89 94 176 178 188 352 356 376 517 704 712 752 979 1034 1424 1504 1958 2068 2848 3008 3916 4136 4183 5696 7832 8272 8366 10613 15664 16544 16732 21226 31328 33088 33464 42452 46013 62656 66928 84904 92026 116743 133856 169808 184052 233486 267712 339616 368104 466972 498811 679232 736208 933944 944557 997622 1472416 1867888 1889114 1995244 2944832 3735776 3778228 3990488 5486921 7471552 7556456 7980976 10390127 10973842 15112912 15961952 20780254 21947684 30225824 31923904 41560508 43895368 44394179 60451648 83121016 87790736 88788358 166242032 175581472 177576716 332484064 351162944 355153432 488335969 664968128 710306864 976671938 1420613728 1953343876 2841227456 3906687752 7813375504 15626751008 31253502016