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54046168420 = 225192911634217
BaseRepresentation
bin110010010101011001…
…110001010101100100
312011111120101211020111
4302111121301111210
51341141304342140
640454540542404
73622212565066
oct622531612544
9164446354214
1054046168420
1120a147202a2
12a583b51a04
13513410781a
142889c61736
151614bd97ea
hexc95671564

54046168420 has 96 divisors (see below), whose sum is σ = 123725750400. Its totient is φ = 19752735744.

The previous prime is 54046168399. The next prime is 54046168457. The reversal of 54046168420 is 2486164045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12814152 + ... + 12818368.

It is an arithmetic number, because the mean of its divisors is an integer number (1288809900).

Almost surely, 254046168420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54046168420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61862875200).

54046168420 is an abundant number, since it is smaller than the sum of its proper divisors (69679581980).

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

54046168420 is a wasteful number, since it uses less digits than its factorization.

54046168420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 54046168420 in words is "fifty-four billion, forty-six million, one hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 1163 2204 2326 2755 4217 4652 5510 5815 8434 11020 11630 16868 21085 22097 23260 33727 42170 44194 67454 80123 84340 88388 110485 122293 134908 160246 168635 220970 244586 320492 337270 400615 441940 489172 611465 640813 674540 801230 1222930 1281626 1602460 2323567 2445860 2563252 3204065 4647134 4904371 6408130 9294268 9808742 11617835 12816260 19617484 23235670 24521855 46471340 49043710 93183049 98087420 142226759 186366098 284453518 372732196 465915245 568907036 711133795 931830490 1422267590 1863660980 2702308421 2844535180 5404616842 10809233684 13511542105 27023084210 54046168420