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54215396964 = 223215122572
BaseRepresentation
bin110010011111011111…
…010100111001100100
312011221100211112011100
4302133133110321210
51342013120200324
640523424040100
73626336161551
oct623737247144
9164840745140
1054215396964
1120aa11a61a3
12a610763030
1351601a9961
1428a4513a28
1516249b64c9
hexc9f7d4e64

54215396964 has 81 divisors (see below), whose sum is σ = 138496955961. Its totient is φ = 17882265600.

The previous prime is 54215396959. The next prime is 54215397059. The reversal of 54215396964 is 46969351245.

The square root of 54215396964 is 232842.

It is a perfect power (a square), and thus also a powerful number.

54215396964 is a `hidden beast` number, since 5 + 42 + 1 + 539 + 6 + 9 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53374860900 + 840536064 = 231030^2 + 28992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54215396964.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210954724 + ... + 210954980.

Almost surely, 254215396964 is an apocalyptic number.

54215396964 is the 232842-nd square number.

It is an amenable number.

54215396964 is an abundant number, since it is smaller than the sum of its proper divisors (84281558997).

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

54215396964 is a wasteful number, since it uses less digits than its factorization.

54215396964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 413 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 54215396964 in words is "fifty-four billion, two hundred fifteen million, three hundred ninety-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 151 257 302 453 514 604 771 906 1028 1359 1542 1812 2313 2718 3084 4626 5436 9252 22801 38807 45602 66049 68403 77614 91204 116421 132098 136806 155228 198147 205209 232842 264196 273612 349263 396294 410418 465684 594441 698526 792588 820836 1188882 1397052 2377764 5859857 9973399 11719714 17579571 19946798 23439428 29920197 35159142 39893596 52738713 59840394 70318284 89760591 105477426 119680788 179521182 210954852 359042364 1505983249 3011966498 4517949747 6023932996 9035899494 13553849241 18071798988 27107698482 54215396964