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54525985368 = 233172329200363
BaseRepresentation
bin110010110010000000…
…001000001001011000
312012202000021001100120
4302302000020021120
51343132123012433
641014321033240
73640130141241
oct626200101130
9165660231316
1054525985368
1121140551928
12a698785820
1351ac64408a
1428d3881cc8
151641db77b3
hexcb2008258

54525985368 has 128 divisors (see below), whose sum is σ = 155803046400. Its totient is φ = 15798142976.

The previous prime is 54525985363. The next prime is 54525985379. The reversal of 54525985368 is 86358952545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54525985363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171955 + ... + 372317.

It is an arithmetic number, because the mean of its divisors is an integer number (1217211300).

Almost surely, 254525985368 is an apocalyptic number.

54525985368 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54525985368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77901523200).

54525985368 is an abundant number, since it is smaller than the sum of its proper divisors (101277061032).

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

54525985368 is a wasteful number, since it uses less digits than its factorization.

54525985368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200441 (or 200437 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 60.

The spelling of 54525985368 in words is "fifty-four billion, five hundred twenty-five million, nine hundred eighty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 29 34 46 51 58 68 69 87 92 102 116 136 138 174 184 204 232 276 348 391 408 493 552 667 696 782 986 1173 1334 1479 1564 1972 2001 2346 2668 2958 3128 3944 4002 4692 5336 5916 8004 9384 11339 11832 16008 22678 34017 45356 68034 90712 136068 200363 272136 400726 601089 801452 1202178 1602904 2404356 3406171 4608349 4808712 5810527 6812342 9216698 10218513 11621054 13624684 13825047 17431581 18433396 20437026 23242108 27249368 27650094 34863162 36866792 40874052 46484216 55300188 69726324 78341933 81748104 98778959 110600376 133642121 139452648 156683866 197557918 235025799 267284242 296336877 313367732 395115836 400926363 470051598 534568484 592673754 626735464 790231672 801852726 940103196 1069136968 1185347508 1603705452 1880206392 2271916057 2370695016 3207410904 4543832114 6815748171 9087664228 13631496342 18175328456 27262992684 54525985368