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10640352400 = 245250395279
BaseRepresentation
bin10011110100011011…
…01110010010010000
31000110112200220110221
421322031232102100
5133242412234100
64515455402424
7524451334366
oct117215562220
930415626427
1010640352400
114570224277
12208b523414
131007574112
1472d211636
154241ec01a
hex27a36e490

10640352400 has 60 divisors (see below), whose sum is σ = 25573363200. Its totient is φ = 4254490240.

The previous prime is 10640352383. The next prime is 10640352413. The reversal of 10640352400 is 425304601.

It is a super-2 number, since 2×106403524002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2012961 + ... + 2018239.

It is an arithmetic number, because the mean of its divisors is an integer number (426222720).

Almost surely, 210640352400 is an apocalyptic number.

10640352400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10640352400 is an abundant number, since it is smaller than the sum of its proper divisors (14933010800).

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

10640352400 is a wasteful number, since it uses less digits than its factorization.

10640352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 10640352400 in words is "ten billion, six hundred forty million, three hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5039 5279 10078 10558 20156 21116 25195 26395 40312 42232 50390 52790 80624 84464 100780 105580 125975 131975 201560 211160 251950 263950 403120 422320 503900 527900 1007800 1055800 2015600 2111600 26600881 53201762 106403524 133004405 212807048 266008810 425614096 532017620 665022025 1064035240 1330044050 2128070480 2660088100 5320176200 10640352400