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31551158640 = 24355312719531
BaseRepresentation
bin11101011000100110…
…000111100101110000
310000102212001221000010
4131120212013211300
51004104044034030
622254442454520
72164603265151
oct353046074560
9100385057003
1031551158640
1112420896521
126146504440
132c8a859c51
141754467928
15c49dcb6b0
hex758987970

31551158640 has 160 divisors (see below), whose sum is σ = 100443856896. Its totient is φ = 8189475840.

The previous prime is 31551158633. The next prime is 31551158671. The reversal of 31551158640 is 4685115513.

It is a happy number.

It is a super-2 number, since 2×315511586402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1605675 + ... + 1625205.

Almost surely, 231551158640 is an apocalyptic number.

31551158640 is a gapful number since it is divisible by the number (30) 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 31551158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50221928448).

31551158640 is an abundant number, since it is smaller than the sum of its proper divisors (68892698256).

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

31551158640 is a wasteful number, since it uses less digits than its factorization.

31551158640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19727 (or 19721 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 31551158640 in words is "thirty-one billion, five hundred fifty-one million, one hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 127 159 212 240 254 265 318 381 424 508 530 635 636 762 795 848 1016 1060 1270 1272 1524 1590 1905 2032 2120 2540 2544 3048 3180 3810 4240 5080 6096 6360 6731 7620 10160 12720 13462 15240 19531 20193 26924 30480 33655 39062 40386 53848 58593 67310 78124 80772 97655 100965 107696 117186 134620 156248 161544 195310 201930 234372 269240 292965 312496 323088 390620 403860 468744 538480 585930 781240 807720 937488 1035143 1171860 1562480 1615440 2070286 2343720 2480437 3105429 4140572 4687440 4960874 5175715 6210858 7441311 8281144 9921748 10351430 12402185 12421716 14882622 15527145 16562288 19843496 20702860 24804370 24843432 29765244 31054290 37206555 39686992 41405720 49608740 49686864 59530488 62108580 74413110 82811440 99217480 119060976 124217160 131463161 148826220 198434960 248434320 262926322 297652440 394389483 525852644 595304880 657315805 788778966 1051705288 1314631610 1577557932 1971947415 2103410576 2629263220 3155115864 3943894830 5258526440 6310231728 7887789660 10517052880 15775579320 31551158640