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31668019152 = 24371117504011
BaseRepresentation
bin11101011111100011…
…111001111111010000
310000201222222001111020
4131133203321333100
51004324003103102
622314215315440
72200522502310
oct353743717720
9100658861436
1031668019152
1112480853560
12617967bb80
132ca8b24b93
141765ba7440
15c552b1bbc
hex75f8f9fd0

31668019152 has 160 divisors (see below), whose sum is σ = 107995659264. Its totient is φ = 7741593600.

The previous prime is 31668019139. The next prime is 31668019153. The reversal of 31668019152 is 25191086613.

It is a super-2 number, since 2×316680191522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31668019153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189174 + ... + 314837.

Almost surely, 231668019152 is an apocalyptic number.

It is an amenable number.

31668019152 is an abundant number, since it is smaller than the sum of its proper divisors (76327640112).

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

31668019152 is a wasteful number, since it uses less digits than its factorization.

31668019152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504057 (or 504051 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 31668019152 in words is "thirty-one billion, six hundred sixty-eight million, nineteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 154 168 176 187 204 231 238 264 272 308 336 357 374 408 462 476 528 561 616 714 748 816 924 952 1122 1232 1309 1428 1496 1848 1904 2244 2618 2856 2992 3696 3927 4488 5236 5712 7854 8976 10472 15708 20944 31416 62832 504011 1008022 1512033 2016044 3024066 3528077 4032088 5544121 6048132 7056154 8064176 8568187 10584231 11088242 12096264 14112308 16632363 17136374 21168462 22176484 24192528 25704561 28224616 33264726 34272748 38808847 42336924 44352968 51409122 56449232 59977309 66529452 68545496 77617694 84673848 88705936 94250057 102818244 116426541 119954618 133058904 137090992 155235388 169347696 179931927 188500114 205636488 232853082 239909236 266117808 282750171 310470776 359863854 377000228 411272976 465706164 479818472 565500342 620941552 659750399 719727708 754000456 931412328 959636944 1131000684 1319500798 1439455416 1508000912 1862824656 1979251197 2262001368 2639001596 2878910832 3958502394 4524002736 5278003192 7917004788 10556006384 15834009576 31668019152