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53412581664 = 25321314266181
BaseRepresentation
bin110001101111101000…
…110101000100100000
312002212102012021121100
4301233220311010200
51333342110103124
640312024554400
73600420311301
oct615750650440
9162772167540
1053412581664
112071a012182
12a427922a00
135062a7c510
142829a547a8
1515c92851c9
hexc6fa35120

53412581664 has 72 divisors (see below), whose sum is σ = 163576042812. Its totient is φ = 16434639360.

The previous prime is 53412581659. The next prime is 53412581687. The reversal of 53412581664 is 46618521435.

53412581664 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 2 + 581 + 6 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48991395600 + 4421186064 = 221340^2 + 66492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 7129347 + ... + 7136834.

Almost surely, 253412581664 is an apocalyptic number.

It is an amenable number.

53412581664 is an abundant number, since it is smaller than the sum of its proper divisors (110163461148).

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

53412581664 is a wasteful number, since it uses less digits than its factorization.

53412581664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266210 (or 14266199 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 53412581664 in words is "fifty-three billion, four hundred twelve million, five hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 14266181 28532362 42798543 57064724 85597086 114129448 128395629 171194172 185460353 228258896 256791258 342388344 370920706 456517792 513582516 556381059 684776688 741841412 1027165032 1112762118 1369553376 1483682824 1669143177 2054330064 2225524236 2967365648 3338286354 4108660128 4451048472 5934731296 6676572708 8902096944 13353145416 17804193888 26706290832 53412581664