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3873881304192 = 273112926893323
BaseRepresentation
bin111000010111110101010…
…100011010110010000000
3111201100011110010010201110
4320113311110122302000
51001432202103213232
612123345252403320
7546610250532324
oct70276524326200
914640143103643
103873881304192
1112639a4005859
1252694b016540
132213c8087203
14d56d552b984
156ab7dc72acc
hex385f551ac80

3873881304192 has 128 divisors (see below), whose sum is σ = 10306042056000. Its totient is φ = 1289282125824.

The previous prime is 3873881304151. The next prime is 3873881304193. The reversal of 3873881304192 is 2914031883783.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3873881304193) by changing a digit.

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, 1165776643 + ... + 1165779965.

Almost surely, 23873881304192 is an apocalyptic number.

3873881304192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3873881304192 is an abundant number, since it is smaller than the sum of its proper divisors (6432160751808).

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

3873881304192 is a wasteful number, since it uses less digits than its factorization.

3873881304192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 3873881304192 in words is "three trillion, eight hundred seventy-three billion, eight hundred eighty-one million, three hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1129 2258 2689 3323 3387 4516 5378 6646 6774 8067 9032 9969 10756 13292 13548 16134 18064 19938 21512 26584 27096 32268 36128 39876 43024 53168 54192 64536 72256 79752 86048 106336 108384 129072 144512 159504 172096 212672 216768 258144 319008 344192 425344 433536 516288 638016 1032576 1276032 3035881 3751667 6071762 7503334 8935547 9107643 11255001 12143524 15006668 17871094 18215286 22510002 24287048 26806641 30013336 35742188 36430572 45020004 48574096 53613282 60026672 71484376 72861144 90040008 97148192 107226564 120053344 142968752 145722288 180080016 194296384 214453128 240106688 285937504 291444576 360160032 388592768 428906256 480213376 571875008 582889152 720320064 857812512 1143750016 1165778304 1440640128 1715625024 3431250048 10088232563 20176465126 30264697689 40352930252 60529395378 80705860504 121058790756 161411721008 242117581512 322823442016 484235163024 645646884032 968470326048 1291293768064 1936940652096 3873881304192