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10381974080 = 26541791309
BaseRepresentation
bin10011010101101000…
…00101101001000000
3222210112111221001112
421222310011221000
5132230241132310
64434105422452
7515163216002
oct115264055100
928715457045
1010381974080
114448398875
122018a9aa28
13c95b8a03a
14706b94372
1540b6b0705
hex26ad05a40

10381974080 has 56 divisors (see below), whose sum is σ = 25325085240. Its totient is φ = 4051496960.

The previous prime is 10381974073. The next prime is 10381974089. The reversal of 10381974080 is 8047918301.

It can be written as a sum of positive squares in 4 ways, for example, as 135675904 + 10246298176 = 11648^2 + 101224^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (10381974089) 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 7 ways as a sum of consecutive naturals, for example, 382535 + ... + 408774.

It is an arithmetic number, because the mean of its divisors is an integer number (452233665).

Almost surely, 210381974080 is an apocalyptic number.

10381974080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10381974080 is an abundant number, since it is smaller than the sum of its proper divisors (14943111160).

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

10381974080 is an equidigital number, since it uses as much as digits as its factorization.

10381974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791367 (or 791357 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 10381974080 in words is "ten billion, three hundred eighty-one million, nine hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 791309 1582618 3165236 3956545 6330472 7913090 12660944 15826180 25321888 31652360 32443669 50643776 63304720 64887338 126609440 129774676 162218345 253218880 259549352 324436690 519098704 648873380 1038197408 1297746760 2076394816 2595493520 5190987040 10381974080