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46085837328 = 2433277385127
BaseRepresentation
bin101010111010111011…
…100001001000010000
311101221210122002212000
4222322323201020100
51223340433243303
633101015234000
73221023103526
oct527273411020
9141853562760
1046085837328
11185aa287773
128b22078900
134465b7363b
142332962316
1512eae27da3
hexabaee1210

46085837328 has 80 divisors (see below), whose sum is σ = 132761324160. Its totient is φ = 15306447744.

The previous prime is 46085837299. The next prime is 46085837339. The reversal of 46085837328 is 82373858064.

46085837328 is a `hidden beast` number, since 4 + 608 + 5 + 8 + 3 + 7 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72900 + ... + 312227.

It is an arithmetic number, because the mean of its divisors is an integer number (1659516552).

Almost surely, 246085837328 is an apocalyptic number.

46085837328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46085837328 is an abundant number, since it is smaller than the sum of its proper divisors (86675486832).

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

46085837328 is a wasteful number, since it uses less digits than its factorization.

46085837328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385421 (or 385409 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 46085837328 in words is "forty-six billion, eighty-five million, eight hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 277 432 554 831 1108 1662 2216 2493 3324 4432 4986 6648 7479 9972 13296 14958 19944 29916 39888 59832 119664 385127 770254 1155381 1540508 2310762 3081016 3466143 4621524 6162032 6932286 9243048 10398429 13864572 18486096 20796858 27729144 41593716 55458288 83187432 106680179 166374864 213360358 320040537 426720716 640081074 853441432 960121611 1280162148 1706882864 1920243222 2560324296 2880364833 3840486444 5120648592 5760729666 7680972888 11521459332 15361945776 23042918664 46085837328