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475204378016 = 25378313136913
BaseRepresentation
bin1101110101001000110…
…00110101110110100000
31200102120210212121100202
412322210120311312200
530241204310044031
61002150023004332
746222002365264
oct6724430656640
91612523777322
10475204378016
11173595534725
1278120b996a8
1335a720724c4
141900007c0a4
15c563d822cb
hex6ea4635da0

475204378016 has 96 divisors (see below), whose sum is σ = 979870022208. Its totient is φ = 226645585920.

The previous prime is 475204377983. The next prime is 475204378057. The reversal of 475204378016 is 610873402574.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12855176 + ... + 12892088.

It is an arithmetic number, because the mean of its divisors is an integer number (10206979398).

Almost surely, 2475204378016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475204378016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489935011104).

475204378016 is an abundant number, since it is smaller than the sum of its proper divisors (504665644192).

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

475204378016 is a wasteful number, since it uses less digits than its factorization.

475204378016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37174 (or 37166 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 475204378016 in words is "four hundred seventy-five billion, two hundred four million, three hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 74 83 131 148 166 262 296 332 524 592 664 1048 1184 1328 2096 2656 3071 4192 4847 6142 9694 10873 12284 19388 21746 24568 36913 38776 43492 49136 73826 77552 86984 98272 147652 155104 173968 295304 347936 402301 590608 804602 1181216 1365781 1609204 2731562 3063779 3218408 4835603 5463124 6127558 6436816 9671206 10926248 12255116 12873632 19342412 21852496 24510232 38684824 43704992 49020464 77369648 98040928 113359823 154739296 178917311 226719646 357834622 401355049 453439292 715669244 802710098 906878584 1431338488 1605420196 1813757168 2862676976 3210840392 3627514336 5725353952 6421680784 12843361568 14850136813 29700273626 59400547252 118801094504 237602189008 475204378016