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378920745278136 = 23333648014808821
BaseRepresentation
bin101011000101000000101110…
…0011010111001101010111000
31211200122110200020122011102000
41112022001130122321222320
5344131214141242400021
63421521442014341000
7142546056210051345
oct12612013432715270
91750573606564360
10378920745278136
11aa8104272a2136
12365b9466aba760
13133580c4399b79
14697dc0d1ab7cc
152dc18e8bcab26
hex158a05c6b9ab8

378920745278136 has 64 divisors (see below), whose sum is σ = 1052560729946400. Its totient is φ = 126306542592000.

The previous prime is 378920745278041. The next prime is 378920745278167. The reversal of 378920745278136 is 631872547029873.

378920745278136 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 20 + 74 + 527 + 8 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76392606 + ... + 81201426.

It is a 1-persistent number, because it is pandigital, but 2⋅378920745278136 = 757841490556272 is not.

Almost surely, 2378920745278136 is an apocalyptic number.

378920745278136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378920745278136 is an abundant number, since it is smaller than the sum of its proper divisors (673639984668264).

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

378920745278136 is a wasteful number, since it uses less digits than its factorization.

378920745278136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173637 (or 5173627 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 378920745278136 in words is "three hundred seventy-eight trillion, nine hundred twenty billion, seven hundred forty-five million, two hundred seventy-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 364801 729602 1094403 1459204 2188806 2918408 3283209 4377612 4808821 6566418 8755224 9617642 9849627 13132836 14426463 19235284 19699254 26265672 28852926 38470568 39398508 43279389 57705852 78797016 86558778 115411704 129838167 173117556 259676334 346235112 519352668 1038705336 1754262709621 3508525419242 5262788128863 7017050838484 10525576257726 14034101676968 15788364386589 21051152515452 31576728773178 42102305030904 47365093159767 63153457546356 94730186319534 126306915092712 189460372639068 378920745278136