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10075268420 = 2257103698701
BaseRepresentation
bin10010110001000100…
…00110010101000100
3222000011101122222122
421120202012111010
5131113232042140
64343431545112
7504450240260
oct113042062504
928004348878
1010075268420
114300254318
121b5222b198
13c47481cb9
146b81570a0
153de7c9ab5
hex258886544

10075268420 has 48 divisors (see below), whose sum is σ = 24415442688. Its totient is φ = 3420835200.

The previous prime is 10075268417. The next prime is 10075268471. The reversal of 10075268420 is 2486257001.

It is a super-2 number, since 2×100752684202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334931 + ... + 363770.

It is an arithmetic number, because the mean of its divisors is an integer number (508655056).

Almost surely, 210075268420 is an apocalyptic number.

10075268420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10075268420 is an abundant number, since it is smaller than the sum of its proper divisors (14340174268).

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

10075268420 is a wasteful number, since it uses less digits than its factorization.

10075268420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698820 (or 698818 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 10075268420 in words is "ten billion, seventy-five million, two hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 7210 14420 698701 1397402 2794804 3493505 4890907 6987010 9781814 13974020 19563628 24454535 48909070 71966203 97818140 143932406 287864812 359831015 503763421 719662030 1007526842 1439324060 2015053684 2518817105 5037634210 10075268420