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94061468736 = 26321621100741
BaseRepresentation
bin101011110011010000…
…0000001110001000000
322222210022020200211100
41113212200001301000
53020114213444421
6111113343414400
76536634202164
oct1274640016100
9288708220740
1094061468736
1136989279724
1216290bb4400
138b403b6311
1447a4492ca4
1526a7be4c26
hex15e6801c40

94061468736 has 84 divisors (see below), whose sum is σ = 269779218124. Its totient is φ = 31334169600.

The previous prime is 94061468717. The next prime is 94061468759. The reversal of 94061468736 is 63786416049.

94061468736 is a `hidden beast` number, since 94 + 0 + 61 + 468 + 7 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57830630400 + 36230838336 = 240480^2 + 190344^2 .

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, 883326 + ... + 984066.

Almost surely, 294061468736 is an apocalyptic number.

94061468736 is a gapful number since it is divisible by the number (96) 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 94061468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134889609062).

94061468736 is an abundant number, since it is smaller than the sum of its proper divisors (175717749388).

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

94061468736 is a wasteful number, since it uses less digits than its factorization.

94061468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102380 (or 102367 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 94061468736 in words is "ninety-four billion, sixty-one million, four hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1621 3242 4863 6484 9726 12968 14589 19452 25936 29178 38904 51872 58356 77808 100741 103744 116712 155616 201482 233424 302223 311232 402964 466848 604446 805928 906669 933696 1208892 1611856 1813338 2417784 3223712 3626676 4835568 6447424 7253352 9671136 14506704 19342272 29013408 58026816 163301161 326602322 489903483 653204644 979806966 1306409288 1469710449 1959613932 2612818576 2939420898 3919227864 5225637152 5878841796 7838455728 10451274304 11757683592 15676911456 23515367184 31353822912 47030734368 94061468736