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495807506496 = 2632293392
BaseRepresentation
bin1110011011100000110…
…11100010100001000000
31202101202200021222100100
413031300123202201000
531110403210201441
61015434255322400
750551400161251
oct7156033424100
91671680258310
10495807506496
111812a8459035
1280110b20400
13379a669c9a3
1419dd64c2b28
15cd6ca37cb6
hex73706e2840

495807506496 has 63 divisors (see below), whose sum is σ = 1421191136911. Its totient is φ = 165263535744.

The previous prime is 495807506473. The next prime is 495807506503. The reversal of 495807506496 is 694605708594.

The square root of 495807506496 is 704136.

It is a perfect power (a square), and thus also a powerful number.

495807506496 is a `hidden beast` number, since 4 + 9 + 5 + 80 + 7 + 506 + 49 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16884595 + ... + 16913933.

Almost surely, 2495807506496 is an apocalyptic number.

495807506496 is the 704136-th square number.

It is an amenable number.

495807506496 is an abundant number, since it is smaller than the sum of its proper divisors (925383630415).

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

495807506496 is an frugal number, since it uses more digits than its factorization.

495807506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58696 (or 29344 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 495807506496 in words is "four hundred ninety-five billion, eight hundred seven million, five hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 29339 58678 88017 117356 176034 234712 264051 352068 469424 528102 704136 938848 1056204 1408272 1877696 2112408 2816544 4224816 5633088 8449632 16899264 860776921 1721553842 2582330763 3443107684 5164661526 6886215368 7746992289 10329323052 13772430736 15493984578 20658646104 27544861472 30987969156 41317292208 55089722944 61975938312 82634584416 123951876624 165269168832 247903753248 495807506496