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505363640616 = 23327018939453
BaseRepresentation
bin1110101101010100000…
…01010011000100101000
31210022102122211212221200
413112222001103010220
531234441042444431
61024054424404200
751340245032502
oct7265201230450
91708378755850
10505363640616
1118536166703a
1281b39316660
133886a42a513
141a661702d72
15d22b969ee6
hex75aa053128

505363640616 has 24 divisors (see below), whose sum is σ = 1368693193530. Its totient is φ = 168454546848.

The previous prime is 505363640603. The next prime is 505363640629. The reversal of 505363640616 is 616046363505.

505363640616 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 636 + 4 + 0 + 6 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (505363640603) and next prime (505363640629).

It can be written as a sum of positive squares in only one way, i.e., 478711772100 + 26651868516 = 691890^2 + 163254^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3509469655 + ... + 3509469798.

Almost surely, 2505363640616 is an apocalyptic number.

It is an amenable number.

505363640616 is an abundant number, since it is smaller than the sum of its proper divisors (863329552914).

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

505363640616 is a wasteful number, since it uses less digits than its factorization.

505363640616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018939465 (or 7018939458 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 505363640616 in words is "five hundred five billion, three hundred sixty-three million, six hundred forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7018939453 14037878906 21056818359 28075757812 42113636718 56151515624 63170455077 84227273436 126340910154 168454546872 252681820308 505363640616