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54287655960 = 23357314514271
BaseRepresentation
bin110010100011110010…
…111110010000011000
312012010101210122212110
4302203302332100120
51342140114442320
640534524512320
73631204314306
oct624362762030
9165111718773
1054287655960
1121028a6a47a
12a6309ab6a0
135172159765
1428add63276
15162aedb5e0
hexca3cbe418

54287655960 has 128 divisors (see below), whose sum is σ = 165246428160. Its totient is φ = 14265216000.

The previous prime is 54287655949. The next prime is 54287655967. The reversal of 54287655960 is 6955678245.

It is a self number, because there is not a number n which added to its sum of digits gives 54287655960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54287655967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12708625 + ... + 12712895.

It is an arithmetic number, because the mean of its divisors is an integer number (1290987720).

Almost surely, 254287655960 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 54287655960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82623214080).

54287655960 is an abundant number, since it is smaller than the sum of its proper divisors (110958772200).

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

54287655960 is a wasteful number, since it uses less digits than its factorization.

54287655960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 54287655960 in words is "fifty-four billion, two hundred eighty-seven million, six hundred fifty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1451 1460 1752 2190 2902 2920 4271 4353 4380 5804 7255 8542 8706 8760 11608 12813 14510 17084 17412 21355 21765 25626 29020 34168 34824 42710 43530 51252 58040 64065 85420 87060 102504 105923 128130 170840 174120 211846 256260 311783 317769 423692 512520 529615 623566 635538 847384 935349 1059230 1247132 1271076 1558915 1588845 1870698 2118460 2494264 2542152 3117830 3177690 3741396 4236920 4676745 6197221 6235660 6355380 7482792 9353490 12394442 12471320 12710760 18591663 18706980 24788884 30986105 37183326 37413960 49577768 61972210 74366652 92958315 123944420 148733304 185916630 247888840 371833260 452397133 743666520 904794266 1357191399 1809588532 2261985665 2714382798 3619177064 4523971330 5428765596 6785956995 9047942660 10857531192 13571913990 18095885320 27143827980 54287655960