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64203425136 = 24327918131181
BaseRepresentation
bin111011110010110100…
…101000010101110000
320010201110001221000200
4323302310220111300
52022442034101021
645254502115200
74432010052324
oct736264502560
9203643057020
1064203425136
1125257183634
121053971bb00
136092564bb6
143170c3b984
151a0b7ac126
hexef2d28570

64203425136 has 120 divisors (see below), whose sum is σ = 182965997760. Its totient is φ = 21012825600.

The previous prime is 64203425129. The next prime is 64203425137. The reversal of 64203425136 is 63152430246.

64203425136 is a `hidden beast` number, since 642 + 0 + 3 + 4 + 2 + 5 + 1 + 3 + 6 = 666.

64203425136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64203425136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64203425137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2043466 + ... + 2074646.

It is an arithmetic number, because the mean of its divisors is an integer number (1524716648).

Almost surely, 264203425136 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 64203425136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91482998880).

64203425136 is an abundant number, since it is smaller than the sum of its proper divisors (118762572624).

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

64203425136 is a wasteful number, since it uses less digits than its factorization.

64203425136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31455 (or 31446 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 64203425136 in words is "sixty-four billion, two hundred three million, four hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 181 237 316 362 474 543 632 711 724 948 1086 1264 1422 1448 1629 1896 2172 2844 2896 3258 3792 4344 5688 6516 8688 11376 13032 14299 26064 28598 31181 42897 57196 62362 85794 93543 114392 124724 128691 171588 187086 228784 249448 257382 280629 343176 374172 498896 514764 561258 686352 748344 1029528 1122516 1496688 2059056 2245032 2463299 4490064 4926598 5643761 7389897 9853196 11287522 14779794 16931283 19706392 22169691 22575044 29559588 33862566 39412784 44339382 45150088 50793849 59119176 67725132 88678764 90300176 101587698 118238352 135450264 177357528 203175396 270900528 354715056 406350792 445857119 812701584 891714238 1337571357 1783428476 2675142714 3566856952 4012714071 5350285428 7133713904 8025428142 10700570856 16050856284 21401141712 32101712568 64203425136