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54600955104 = 2531314341679
BaseRepresentation
bin110010110110011110…
…000111010011100000
312012221020022220111110
4302312132013103200
51343310321030404
641025555543320
73642030314013
oct626636072340
9165836286443
1054600955104
11211798a7793
12a6b98bab40
1351c2032977
1428dd7d937a
151648775b89
hexcb67874e0

54600955104 has 48 divisors (see below), whose sum is σ = 144421643520. Its totient is φ = 18061380480.

The previous prime is 54600955099. The next prime is 54600955117. The reversal of 54600955104 is 40155900645.

54600955104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2158264 + ... + 2183415.

It is an arithmetic number, because the mean of its divisors is an integer number (3008784240).

Almost surely, 254600955104 is an apocalyptic number.

It is an amenable number.

54600955104 is an abundant number, since it is smaller than the sum of its proper divisors (89820688416).

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

54600955104 is a wasteful number, since it uses less digits than its factorization.

54600955104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341823 (or 4341815 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 54600955104 in words is "fifty-four billion, six hundred million, nine hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 4341679 8683358 13025037 17366716 26050074 34733432 52100148 69466864 104200296 138933728 208400592 416801184 568759949 1137519898 1706279847 2275039796 3412559694 4550079592 6825119388 9100159184 13650238776 18200318368 27300477552 54600955104