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54025100568 = 233223137323761
BaseRepresentation
bin110010010100001001…
…011001110100011000
312011110002202110120200
4302110021121310120
51341120411204233
640452505222200
73621535530555
oct622411316430
9164402673520
1054025100568
1120a0384074a
12a578a91960
13512c93c33a
142887139a2c
151612e27313
hexc94259d18

54025100568 has 96 divisors (see below), whose sum is σ = 152797263840. Its totient is φ = 17212124160.

The previous prime is 54025100567. The next prime is 54025100599. The reversal of 54025100568 is 86500152045.

54025100568 is a `hidden beast` number, since 5 + 40 + 2 + 51 + 0 + 0 + 568 = 666.

It is a super-2 number, since 2×540251005682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54025100567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261808 + ... + 2285568.

It is an arithmetic number, because the mean of its divisors is an integer number (1591638165).

Almost surely, 254025100568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54025100568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76398631920).

54025100568 is an abundant number, since it is smaller than the sum of its proper divisors (98772163272).

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

54025100568 is a wasteful number, since it uses less digits than its factorization.

54025100568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25169 (or 25162 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 54025100568 in words is "fifty-four billion, twenty-five million, one hundred thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1373 1656 2746 4119 5492 8238 10984 12357 16476 23761 24714 31579 32952 47522 49428 63158 71283 94737 95044 98856 126316 142566 189474 190088 213849 252632 284211 285132 378948 427698 546503 568422 570264 757896 855396 1093006 1136844 1639509 1710792 2186012 2273688 3279018 4372024 4918527 6558036 9837054 13116072 19674108 32623853 39348216 65247706 97871559 130495412 195743118 260990824 293614677 391486236 587229354 750348619 782972472 1174458708 1500697238 2251045857 2348917416 3001394476 4502091714 6002788952 6753137571 9004183428 13506275142 18008366856 27012550284 54025100568