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54680335920 = 24325710849273
BaseRepresentation
bin110010111011001100…
…111011011000110000
312020010202200212111200
4302323030323120300
51343441131222140
641041513211200
73644013120660
oct627314733060
9166122625450
1054680335920
112120a695771
12a720400b00
135205607272
14290a1801a0
151650706030
hexcbb33b630

54680335920 has 120 divisors (see below), whose sum is σ = 209868356256. Its totient is φ = 12498361344.

The previous prime is 54680335877. The next prime is 54680335943. The reversal of 54680335920 is 2953308645.

54680335920 is a `hidden beast` number, since 54 + 6 + 8 + 0 + 3 + 3 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5419597 + ... + 5429676.

Almost surely, 254680335920 is an apocalyptic number.

It is an amenable number.

54680335920 is an abundant number, since it is smaller than the sum of its proper divisors (155188020336).

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

54680335920 is a wasteful number, since it uses less digits than its factorization.

54680335920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849299 (or 10849290 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54680335920 in words is "fifty-four billion, six hundred eighty million, three hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 10849273 21698546 32547819 43397092 54246365 65095638 75944911 86794184 97643457 108492730 130191276 151889822 162739095 173588368 195286914 216985460 227834733 260382552 303779644 325478190 379724555 390573828 433970920 455669466 488217285 520765104 607559288 650956380 683504199 759449110 781147656 867941840 911338932 976434570 1139173665 1215118576 1301912760 1367008398 1518898220 1562295312 1822677864 1952869140 2278347330 2603825520 2734016796 3037796440 3417520995 3645355728 3905738280 4556694660 5468033592 6075592880 6835041990 7811476560 9113389320 10936067184 13670083980 18226778640 27340167960 54680335920