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10474942464 = 21233721933
BaseRepresentation
bin10011100000101101…
…01111000000000000
31000001000110012201000
421300112233000000
5132423041124324
64451230212000
7520402353600
oct116026570000
930030405630
1010474942464
114495917348
122044054000
13cac20b10c
14715274c00
154149269c9
hex2705af000

10474942464 has 312 divisors, whose sum is σ = 36118378320. Its totient is φ = 2991292416.

The previous prime is 10474942453. The next prime is 10474942469. The reversal of 10474942464 is 46424947401.

10474942464 is a `hidden beast` number, since 10 + 474 + 94 + 24 + 64 = 666.

It is a super-2 number, since 2×104749424642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10474942469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5418042 + ... + 5419974.

Almost surely, 210474942464 is an apocalyptic number.

10474942464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10474942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059189160).

10474942464 is an abundant number, since it is smaller than the sum of its proper divisors (25643435856).

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

10474942464 is an equidigital number, since it uses as much as digits as its factorization.

10474942464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

10474942464 divided by its product of nonzero digits (774144) gives a palindrome (13531).

The spelling of 10474942464 in words is "ten billion, four hundred seventy-four million, nine hundred forty-two thousand, four hundred sixty-four".