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10074819360 = 253520989207
BaseRepresentation
bin10010110001000000…
…11000101100100000
3222000010112211222210
421120200120230200
5131113123204420
64343414202120
7504443360124
oct113040305440
928003484883
1010074819360
1142aaa779a1
121b52053340
13c47355798
146b807b584
153de73b9e0
hex258818b20

10074819360 has 48 divisors (see below), whose sum is σ = 31735682496. Its totient is φ = 2686618368.

The previous prime is 10074819317. The next prime is 10074819371. The reversal of 10074819360 is 6391847001.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10494124 + ... + 10495083.

It is an arithmetic number, because the mean of its divisors is an integer number (661160052).

Almost surely, 210074819360 is an apocalyptic number.

10074819360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10074819360 is an abundant number, since it is smaller than the sum of its proper divisors (21660863136).

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

10074819360 is a wasteful number, since it uses less digits than its factorization.

10074819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20989225 (or 20989217 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 10074819360 in words is "ten billion, seventy-four million, eight hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20989207 41978414 62967621 83956828 104946035 125935242 167913656 209892070 251870484 314838105 335827312 419784140 503740968 629676210 671654624 839568280 1007481936 1259352420 1679136560 2014963872 2518704840 3358273120 5037409680 10074819360