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54200553144 = 23317626321211
BaseRepresentation
bin110010011110100110…
…101100111010111000
312011220022220101021020
4302132212230322320
51342000320200034
640522133542440
73626066046243
oct623646547270
9164808811236
1054200553144
1120a93887881
12a6077a4a20
13515a0b042a
1428a256c25a
151623533249
hexc9e9aceb8

54200553144 has 64 divisors (see below), whose sum is σ = 143501725440. Its totient is φ = 17000578560.

The previous prime is 54200552981. The next prime is 54200553203. The reversal of 54200553144 is 44135500245.

It is a super-2 number, since 2×542005531442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2544699 + ... + 2565909.

It is an arithmetic number, because the mean of its divisors is an integer number (2242214460).

Almost surely, 254200553144 is an apocalyptic number.

It is an amenable number.

54200553144 is an abundant number, since it is smaller than the sum of its proper divisors (89301172296).

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

54200553144 is a wasteful number, since it uses less digits than its factorization.

54200553144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27500 (or 27496 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 54200553144 in words is "fifty-four billion, two hundred million, five hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 6263 12526 18789 21211 25052 37578 42422 50104 63633 75156 84844 106471 127266 150312 169688 212942 254532 319413 360587 425884 509064 638826 721174 851768 1081761 1277652 1442348 2163522 2555304 2884696 4327044 8654088 132844493 265688986 398533479 531377972 797066958 1062755944 1594133916 2258356381 3188267832 4516712762 6775069143 9033425524 13550138286 18066851048 27100276572 54200553144