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54861434480 = 24519231569263
BaseRepresentation
bin110011000101111111…
…110000111001110000
312020121101110122000202
4303011333300321300
51344324011400410
641111502534332
73651342333056
oct630577607160
9166541418022
1054861434480
11212a29387a6
12a770b973a8
135233ca4188
1429262421d6
151661579ca5
hexcc5ff0e70

54861434480 has 80 divisors (see below), whose sum is σ = 140103889920. Its totient is φ = 19885688064.

The previous prime is 54861434471. The next prime is 54861434491. The reversal of 54861434480 is 8443416845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749672 + ... + 819591.

It is an arithmetic number, because the mean of its divisors is an integer number (1751298624).

Almost surely, 254861434480 is an apocalyptic number.

It is an amenable number.

54861434480 is an abundant number, since it is smaller than the sum of its proper divisors (85242455440).

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

54861434480 is a wasteful number, since it uses less digits than its factorization.

54861434480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569318 (or 1569312 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 47.

The spelling of 54861434480 in words is "fifty-four billion, eight hundred sixty-one million, four hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 6992 8740 17480 34960 1569263 3138526 6277052 7846315 12554104 15692630 25108208 29815997 31385260 36093049 59631994 62770520 72186098 119263988 125541040 144372196 149079985 180465245 238527976 288744392 298159970 360930490 477055952 577488784 596319940 685767931 721860980 1192639880 1371535862 1443721960 2385279760 2743071724 2887443920 3428839655 5486143448 6857679310 10972286896 13715358620 27430717240 54861434480