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46804307616 = 25321114774087
BaseRepresentation
bin101011100101110000…
…010000111010100000
311110210212120011210200
4223211300100322200
51231323400320431
633300202425200
73244566023223
oct534560207240
9143725504720
1046804307616
11189388a2070
1290a2802200
13454b97baa1
1423a01475ba
15133e047ee6
hexae5c10ea0

46804307616 has 72 divisors (see below), whose sum is σ = 145199736864. Its totient is φ = 14183122560.

The previous prime is 46804307611. The next prime is 46804307623. The reversal of 46804307616 is 61670340864.

It is a happy number.

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

It is a super-2 number, since 2×468043076162 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46804307611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7383876 + ... + 7390211.

It is an arithmetic number, because the mean of its divisors is an integer number (2016663012).

Almost surely, 246804307616 is an apocalyptic number.

It is an amenable number.

46804307616 is an abundant number, since it is smaller than the sum of its proper divisors (98395429248).

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

46804307616 is a wasteful number, since it uses less digits than its factorization.

46804307616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774114 (or 14774103 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46804307616 in words is "forty-six billion, eight hundred four million, three hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 14774087 29548174 44322261 59096348 88644522 118192696 132966783 162514957 177289044 236385392 265933566 325029914 354578088 472770784 487544871 531867132 650059828 709156176 975089742 1063734264 1300119656 1418312352 1462634613 1950179484 2127468528 2600239312 2925269226 3900358968 4254937056 5200478624 5850538452 7800717936 11701076904 15601435872 23402153808 46804307616