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47030734368 = 25321621100741
BaseRepresentation
bin101011110011010000…
…000000111000100000
311111101122121211220200
4223303100000320200
51232304331444433
633334451505200
73253315434432
oct536320007040
9144348554820
1047030734368
1118a44694912
1291465b8200
134586859807
1423c2248652
151353d72613
hexaf3400e20

47030734368 has 72 divisors (see below), whose sum is σ = 133827486156. Its totient is φ = 15667084800.

The previous prime is 47030734349. The next prime is 47030734423. The reversal of 47030734368 is 86343703074.

It can be written as a sum of positive squares in 2 ways, for example, as 46402329744 + 628404624 = 215412^2 + 25068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 416478 + ... + 517218.

Almost surely, 247030734368 is an apocalyptic number.

47030734368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47030734368 is an abundant number, since it is smaller than the sum of its proper divisors (86796751788).

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

47030734368 is a wasteful number, since it uses less digits than its factorization.

47030734368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102378 (or 102367 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 47030734368 in words is "forty-seven billion, thirty million, seven hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1621 3242 4863 6484 9726 12968 14589 19452 25936 29178 38904 51872 58356 77808 100741 116712 155616 201482 233424 302223 402964 466848 604446 805928 906669 1208892 1611856 1813338 2417784 3223712 3626676 4835568 7253352 9671136 14506704 29013408 163301161 326602322 489903483 653204644 979806966 1306409288 1469710449 1959613932 2612818576 2939420898 3919227864 5225637152 5878841796 7838455728 11757683592 15676911456 23515367184 47030734368