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54521754534 = 23313199443881
BaseRepresentation
bin110010110001101111…
…111111001110100110
312012201201022002202000
4302301233333032212
51343130032121114
641014050230130
73640046160402
oct626157771646
9165651262660
1054521754534
1121139122175
12a697285346
1351ab7c2420
1428d30a0102
15164182de09
hexcb1bff3a6

54521754534 has 128 divisors (see below), whose sum is σ = 131580288000. Its totient is φ = 16635041280.

The previous prime is 54521754499. The next prime is 54521754611. The reversal of 54521754534 is 43545712545.

54521754534 is a `hidden beast` number, since 5 + 4 + 52 + 17 + 54 + 534 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54521754534.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61885774 + ... + 61886654.

It is an arithmetic number, because the mean of its divisors is an integer number (1027971000).

Almost surely, 254521754534 is an apocalyptic number.

54521754534 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54521754534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65790144000).

54521754534 is an abundant number, since it is smaller than the sum of its proper divisors (77058533466).

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

54521754534 is a wasteful number, since it uses less digits than its factorization.

54521754534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 45.

The spelling of 54521754534 in words is "fifty-four billion, five hundred twenty-one million, seven hundred fifty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 199 234 351 398 443 597 702 881 886 1194 1329 1762 1791 2587 2643 2658 3582 3987 5174 5286 5373 5759 7761 7929 7974 10746 11453 11518 11961 15522 15858 17277 22906 23283 23787 23922 34359 34554 46566 47574 51831 68718 69849 88157 103077 103662 139698 155493 175319 176314 206154 264471 309231 310986 350638 390283 525957 528942 618462 780566 793413 1051914 1146041 1170849 1577871 1586826 2279147 2292082 2341698 2380239 3155742 3438123 3512547 4558294 4733613 4760478 5073679 6837441 6876246 7025094 9467226 10147358 10314369 10537641 13674882 15221037 20512323 20628738 21075282 30442074 30943107 41024646 45663111 61536969 61886214 77666317 91326222 123073938 136989333 155332634 232998951 273978666 465997902 698996853 1009662121 1397993706 2019324242 2096990559 3028986363 4193981118 6057972726 9086959089 18173918178 27260877267 54521754534