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10472914464 = 253176417227
BaseRepresentation
bin10011100000011101…
…11111111000100000
31000000212122011210220
421300032333320200
5132422031230324
64451114523040
7520346206215
oct116016777040
930025564726
1010472914464
114494761711
122043436480
13cab97b00c
14714ca7b0c
15414675b79
hex2703bfe20

10472914464 has 48 divisors (see below), whose sum is σ = 29108546208. Its totient is φ = 3285619712.

The previous prime is 10472914457. The next prime is 10472914471. The reversal of 10472914464 is 46441927401.

It is a happy number.

10472914464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10472914457) and next prime (10472914471).

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3206982 + ... + 3210245.

It is an arithmetic number, because the mean of its divisors is an integer number (606428046).

Almost surely, 210472914464 is an apocalyptic number.

It is an amenable number.

10472914464 is an abundant number, since it is smaller than the sum of its proper divisors (18635631744).

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

10472914464 is a wasteful number, since it uses less digits than its factorization.

10472914464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417257 (or 6417249 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 10472914464 in words is "ten billion, four hundred seventy-two million, nine hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6417227 12834454 19251681 25668908 38503362 51337816 77006724 102675632 109092859 154013448 205351264 218185718 308026896 327278577 436371436 616053792 654557154 872742872 1309114308 1745485744 2618228616 3490971488 5236457232 10472914464