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513240650064 = 24324801742381
BaseRepresentation
bin1110111011111111000…
…01101101000101010000
31211001202121211102112100
413131333201231011100
531402104101300224
61031440212200400
752036403354562
oct7357741550520
91731677742470
10513240650064
11188733a6a8aa
1283577309100
133952433a45c
141abab913332
15d53d26dac9
hex777f86d150

513240650064 has 60 divisors (see below), whose sum is σ = 1436662100692. Its totient is φ = 171044352000.

The previous prime is 513240650009. The next prime is 513240650081. The reversal of 513240650064 is 460056042315.

513240650064 is a `hidden beast` number, since 51 + 3 + 2 + 40 + 6 + 500 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 387371801664 + 125868848400 = 622392^2 + 354780^2 .

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

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, 320154 + ... + 1062534.

Almost surely, 2513240650064 is an apocalyptic number.

It is an amenable number.

513240650064 is an abundant number, since it is smaller than the sum of its proper divisors (923421450628).

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

513240650064 is a wasteful number, since it uses less digits than its factorization.

513240650064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747196 (or 747187 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 513240650064 its reverse (460056042315), we get a palindrome (973296692379).

The spelling of 513240650064 in words is "five hundred thirteen billion, two hundred forty million, six hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4801 9602 14403 19204 28806 38408 43209 57612 76816 86418 115224 172836 230448 345672 691344 742381 1484762 2227143 2969524 4454286 5939048 6681429 8908572 11878096 13362858 17817144 26725716 35634288 53451432 106902864 3564171181 7128342362 10692513543 14256684724 21385027086 28513369448 32077540629 42770054172 57026738896 64155081258 85540108344 128310162516 171080216688 256620325032 513240650064