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54505544252004 = 22321789061346817
BaseRepresentation
bin11000110010010100011111…
…00110100111101001100100
321010222200100002112212021100
430121022033212213221210
524121004323312031004
6311531300143120100
714323616124602616
oct1431121746475144
9233880302485240
1054505544252004
11164047428567aa
1261436585a3030
132454b0a1a5161
14d66122222db6
15647c3335e739
hex31928f9a7a64

54505544252004 has 36 divisors (see below), whose sum is σ = 145882486087884. Its totient is φ = 17099778588672.

The previous prime is 54505544251933. The next prime is 54505544252083. The reversal of 54505544252004 is 40025244550545.

54505544252004 is a `hidden beast` number, since 5 + 4 + 5 + 0 + 554 + 42 + 52 + 0 + 0 + 4 = 666.

54505544252004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21635503354404 + 32870040897600 = 4651398^2 + 5733240^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 44530672797 + ... + 44530674020.

It is an arithmetic number, because the mean of its divisors is an integer number (4052291280219).

Almost surely, 254505544252004 is an apocalyptic number.

It is an amenable number.

54505544252004 is an abundant number, since it is smaller than the sum of its proper divisors (91376941835880).

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

54505544252004 is a wasteful number, since it uses less digits than its factorization.

54505544252004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89061346844 (or 89061346839 counting only the distinct ones).

The product of its (nonzero) digits is 3200000, while the sum is 45.

The spelling of 54505544252004 in words is "fifty-four trillion, five hundred five billion, five hundred forty-four million, two hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 89061346817 178122693634 267184040451 356245387268 534368080902 801552121353 1068736161804 1514042895889 1603104242706 3028085791778 3206208485412 4542128687667 6056171583556 9084257375334 13626386063001 18168514750668 27252772126002 54505544252004