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54418628000 = 2553111236787
BaseRepresentation
bin110010101011100110…
…100101110110100000
312012110112020201201202
4302223212211312200
51342422132044000
640555524020332
73634354464062
oct625346456640
9165415221652
1054418628000
1121095995730
12a6688316a8
1351933257c9
1428c34d7732
15163775cdd5
hexcab9a5da0

54418628000 has 96 divisors (see below), whose sum is σ = 145861829568. Its totient is φ = 19788576000.

The previous prime is 54418627999. The next prime is 54418628021. The reversal of 54418628000 is 82681445.

It is a happy number.

54418628000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×544186280002 (a number of 22 digits) contains 22 as substring.

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, 574394 + ... + 662393.

It is an arithmetic number, because the mean of its divisors is an integer number (1519394058).

Almost surely, 254418628000 is an apocalyptic number.

54418628000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54418628000 is an abundant number, since it is smaller than the sum of its proper divisors (91443201568).

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

54418628000 is a wasteful number, since it uses less digits than its factorization.

54418628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236823 (or 1236805 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 54418628000 in words is "fifty-four billion, four hundred eighteen million, six hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 1236787 2473574 4947148 6183935 9894296 12367870 13604657 19788592 24735740 27209314 30919675 39577184 49471480 54418628 61839350 68023285 98942960 108837256 123678700 136046570 154598375 197885920 217674512 247357400 272093140 309196750 340116425 435349024 494714800 544186280 618393500 680232850 989429600 1088372560 1236787000 1360465700 1700582125 2176745120 2473574000 2720931400 3401164250 4947148000 5441862800 6802328500 10883725600 13604657000 27209314000 54418628000