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40698917640 = 23335339111113
BaseRepresentation
bin100101111001110110…
…000011001100001000
310220001101012020021000
4211321312003030020
51131322410331030
630410303015000
72640362043363
oct457166031410
9126041166230
1040698917640
1116295529227
127a79b9a460
133ab7b030b4
141d813430da
1510d3043860
hex979d83308

40698917640 has 128 divisors (see below), whose sum is σ = 135715276800. Its totient is φ = 10848867840.

The previous prime is 40698917627. The next prime is 40698917731. The reversal of 40698917640 is 4671989604.

40698917640 is a `hidden beast` number, since 406 + 98 + 91 + 7 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3656724 + ... + 3667836.

It is an arithmetic number, because the mean of its divisors is an integer number (1060275600).

Almost surely, 240698917640 is an apocalyptic number.

40698917640 is a gapful number since it is divisible by the number (40) 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 40698917640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67857638400).

40698917640 is an abundant number, since it is smaller than the sum of its proper divisors (95016359160).

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

40698917640 is a wasteful number, since it uses less digits than its factorization.

40698917640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14524 (or 14514 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 40698917640 in words is "forty billion, six hundred ninety-eight million, nine hundred seventeen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3391 6782 10173 11113 13564 16955 20346 22226 27128 30519 33339 33910 40692 44452 50865 55565 61038 66678 67820 81384 88904 91557 100017 101730 111130 122076 133356 135640 152595 166695 183114 200034 203460 222260 244152 266712 300051 305190 333390 366228 400068 406920 444520 457785 500085 600102 610380 666780 732456 800136 915570 1000170 1200204 1220760 1333560 1500255 1831140 2000340 2400408 3000510 3662280 4000680 6001020 12002040 37684183 75368366 113052549 150736732 188420915 226105098 301473464 339157647 376841830 452210196 565262745 678315294 753683660 904420392 1017472941 1130525490 1356630588 1507367320 1695788235 2034945882 2261050980 2713261176 3391576470 4069891764 4522101960 5087364705 6783152940 8139783528 10174729410 13566305880 20349458820 40698917640