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53604972864 = 2632523177943
BaseRepresentation
bin110001111011000110…
…101111100101000000
312010100211012202201100
4301323012233211000
51334240333112424
640343100334400
73605244515502
oct617306574500
9163324182640
1053604972864
1120808678573
12a480244400
1350938a1471
142847415d72
1515db0d9dc9
hexc7b1af940

53604972864 has 84 divisors (see below), whose sum is σ = 153943625056. Its totient is φ = 17834059008.

The previous prime is 53604972857. The next prime is 53604972871. The reversal of 53604972864 is 46827940635.

53604972864 is a `hidden beast` number, since 5 + 3 + 604 + 9 + 7 + 28 + 6 + 4 = 666.

53604972864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53604972857) and next prime (53604972871).

It is a self number, because there is not a number n which added to its sum of digits gives 53604972864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212277 + ... + 390219.

Almost surely, 253604972864 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 53604972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76971812528).

53604972864 is an abundant number, since it is smaller than the sum of its proper divisors (100338652192).

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

53604972864 is a wasteful number, since it uses less digits than its factorization.

53604972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178484 (or 178471 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 53604972864 in words is "fifty-three billion, six hundred four million, nine hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 523 576 1046 1569 2092 3138 4184 4707 6276 8368 9414 12552 16736 18828 25104 33472 37656 50208 75312 100416 150624 177943 301248 355886 533829 711772 1067658 1423544 1601487 2135316 2847088 3202974 4270632 5694176 6405948 8541264 11388352 12811896 17082528 25623792 34165056 51247584 93064189 102495168 186128378 279192567 372256756 558385134 744513512 837577701 1116770268 1489027024 1675155402 2233540536 2978054048 3350310804 4467081072 5956108096 6700621608 8934162144 13401243216 17868324288 26802486432 53604972864