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10520315640 = 23365360779
BaseRepresentation
bin10011100110000111…
…10100011011111000
31000011011211102000000
421303003310123320
5133021200100030
64455530513000
7521463131112
oct116303643370
930134742000
1010520315640
11450949793a
122057295760
13cb8736553
1471b2c63b2
154188da860
hex2730f46f8

10520315640 has 112 divisors (see below), whose sum is σ = 35489928600. Its totient is φ = 2805409728.

The previous prime is 10520315633. The next prime is 10520315693. The reversal of 10520315640 is 4651302501.

10520315640 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 3 + 15 + 640 = 666.

It is a super-2 number, since 2×105203156402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151230 + ... + 209549.

Almost surely, 210520315640 is an apocalyptic number.

10520315640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10520315640 is an abundant number, since it is smaller than the sum of its proper divisors (24969612960).

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

10520315640 is an equidigital number, since it uses as much as digits as its factorization.

10520315640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360808 (or 360789 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10520315640 in words is "ten billion, five hundred twenty million, three hundred fifteen 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 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160 360779 721558 1082337 1443116 1803895 2164674 2886232 3247011 3607790 4329348 5411685 6494022 7215580 8658696 9741033 10823370 12988044 14431160 16235055 19482066 21646740 25976088 29223099 32470110 38964132 43293480 48705165 58446198 64940220 77928264 87669297 97410330 116892396 129880440 146115495 175338594 194820660 233784792 263007891 292230990 350677188 389641320 438346485 526015782 584461980 701354376 876692970 1052031564 1168923960 1315039455 1753385940 2104063128 2630078910 3506771880 5260157820 10520315640