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10074764200 = 235250373821
BaseRepresentation
bin10010110001000000…
…01011001110101000
3222000010110001022211
421120200023032220
5131113114423300
64343413054504
7504443040244
oct113040131650
928003401284
1010074764200
1142aaa3a506
121b52027434
13c47336647
146b8065424
153de72a4ba
hex25880b3a8

10074764200 has 24 divisors (see below), whose sum is σ = 23423827230. Its totient is φ = 4029905600.

The previous prime is 10074764171. The next prime is 10074764201. The reversal of 10074764200 is 246747001.

It can be written as a sum of positive squares in 3 ways, for example, as 9006389604 + 1068374596 = 94902^2 + 32686^2 .

It is not an unprimeable number, because it can be changed into a prime (10074764201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25186711 + ... + 25187110.

Almost surely, 210074764200 is an apocalyptic number.

10074764200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10074764200 is an abundant number, since it is smaller than the sum of its proper divisors (13349063030).

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

10074764200 is a wasteful number, since it uses less digits than its factorization.

10074764200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50373837 (or 50373828 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 10074764200 in words is "ten billion, seventy-four million, seven hundred sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50373821 100747642 201495284 251869105 402990568 503738210 1007476420 1259345525 2014952840 2518691050 5037382100 10074764200