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10140739632 = 2432175877057
BaseRepresentation
bin10010111000110111…
…10110100000110000
3222011201120221121100
421130123312200300
5131232012132012
64354131124400
7506203602402
oct113433664060
928151527540
1010140739632
114334201861
121b70143700
13c57bc636a
146c2b1ab72
153e540d8dc
hex25c6f6830

10140739632 has 120 divisors (see below), whose sum is σ = 30104854416. Its totient is φ = 3175538688.

The previous prime is 10140739627. The next prime is 10140739727. The reversal of 10140739632 is 23693704101.

10140739632 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 7 + 3 + 9 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433448 + ... + 1440504.

Almost surely, 210140739632 is an apocalyptic number.

10140739632 is a gapful number since it is divisible by the number (12) 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 10140739632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052427208).

10140739632 is an abundant number, since it is smaller than the sum of its proper divisors (19964114784).

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

10140739632 is a wasteful number, since it uses less digits than its factorization.

10140739632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10140739632 in words is "ten billion, one hundred forty million, seven hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 587 612 816 1174 1224 1761 2348 2448 3522 4696 5283 7044 7057 9392 9979 10566 14088 14114 19958 21132 21171 28176 28228 29937 39916 42264 42342 56456 59874 63513 79832 84528 84684 89811 112912 119748 119969 127026 159664 169368 179622 239496 239938 254052 338736 359244 359907 478992 479876 508104 718488 719814 959752 1016208 1079721 1436976 1439628 1919504 2159442 2879256 4142459 4318884 5758512 8284918 8637768 12427377 16569836 17275536 24854754 33139672 37282131 49709508 66279344 70421803 74564262 99419016 140843606 149128524 198838032 211265409 281687212 298257048 422530818 563374424 596514096 633796227 845061636 1126748848 1267592454 1690123272 2535184908 3380246544 5070369816 10140739632