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54330651816 = 233712713611871
BaseRepresentation
bin110010100110010110…
…111111010010101000
312012020101201002002120
4302212112333102220
51342232121324231
640543102231240
73632235630540
oct624626772250
9165211632076
1054330651816
1121050266941
12a643285520
13517b031aac
1428b5956320
15162eb80d96
hexca65bf4a8

54330651816 has 128 divisors (see below), whose sum is σ = 156651356160. Its totient is φ = 15381273600.

The previous prime is 54330651797. The next prime is 54330651827. The reversal of 54330651816 is 61815603345.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 29037361 + ... + 29039231.

It is an arithmetic number, because the mean of its divisors is an integer number (1223838720).

Almost surely, 254330651816 is an apocalyptic number.

54330651816 is a gapful number since it is divisible by the number (56) 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 54330651816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78325678080).

54330651816 is an abundant number, since it is smaller than the sum of its proper divisors (102320704344).

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

54330651816 is a wasteful number, since it uses less digits than its factorization.

54330651816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 54330651816 in words is "fifty-four billion, three hundred thirty million, six hundred fifty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1361 1524 1778 1871 2667 2722 3048 3556 3742 4083 5334 5444 5613 7112 7484 8166 9527 10668 10888 11226 13097 14968 16332 19054 21336 22452 26194 28581 32664 38108 39291 44904 52388 57162 76216 78582 104776 114324 157164 172847 228648 237617 314328 345694 475234 518541 691388 712851 950468 1037082 1209929 1382776 1425702 1663319 1900936 2074164 2419858 2546431 2851404 3326638 3629787 4148328 4839716 4989957 5092862 5702808 6653276 7259574 7639293 9679432 9979914 10185724 13306552 14519148 15278586 17825017 19959828 20371448 29038296 30557172 35650034 39919656 53475051 61114344 71300068 106950102 142600136 213900204 323396737 427800408 646793474 970190211 1293586948 1940380422 2263777159 2587173896 3880760844 4527554318 6791331477 7761521688 9055108636 13582662954 18110217272 27165325908 54330651816