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54645033806048 = 2572140281248431
BaseRepresentation
bin11000110110011000010011…
…10101000010100011100000
321011111000101100202101210202
430123030021311002203200
524130301012123243143
6312115325412244332
714336654610340400
oct1433141165024340
9234430340671722
1054645033806048
1116458912a99284
1261666a73106a8
13246500a09550a
14d6cb95b3a800
1564b699352ab8
hex31b309d428e0

54645033806048 has 72 divisors (see below), whose sum is σ = 125148281325984. Its totient is φ = 23419038988800.

The previous prime is 54645033806023. The next prime is 54645033806057. The reversal of 54645033806048 is 84060833054645.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 54645033805984 and 54645033806002.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 219836393 + ... + 220084823.

It is an arithmetic number, because the mean of its divisors is an integer number (1738170573972).

Almost surely, 254645033806048 is an apocalyptic number.

It is an amenable number.

54645033806048 is an abundant number, since it is smaller than the sum of its proper divisors (70503247519936).

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

54645033806048 is a wasteful number, since it uses less digits than its factorization.

54645033806048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388736 (or 388721 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 56.

The spelling of 54645033806048 in words is "fifty-four trillion, six hundred forty-five billion, thirty-three million, eight hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 140281 248431 280562 496862 561124 981967 993724 1122248 1739017 1963934 1987448 2244496 3478034 3927868 3974896 4488992 6873769 6956068 7855736 7949792 12173119 13747538 13912136 15711472 24346238 27495076 27824272 31422944 48692476 54990152 55648544 97384952 109980304 194769904 219960608 389539808 34850149111 69700298222 139400596444 243951043777 278801192888 487902087554 557602385776 975804175108 1115204771552 1707657306439 1951608350216 3415314612878 3903216700432 6830629225756 7806433400864 13661258451512 27322516903024 54645033806048