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506009856295 = 56431481106273
BaseRepresentation
bin1110101110100001000…
…10011010100100100111
31210101002200211001012201
413113100202122210213
531242302010400140
61024242511155331
751362252545306
oct7272042324447
91711080731181
10506009856295
11185663410489
1282099815b47
1338941287b68
141a6c347a43d
15d26856649a
hex75d089a927

506009856295 has 16 divisors (see below), whose sum is σ = 608572534752. Its totient is φ = 403901614080.

The previous prime is 506009856293. The next prime is 506009856299. The reversal of 506009856295 is 592658900605.

It is not a de Polignac number, because 506009856295 - 21 = 506009856293 is a prime.

It is a super-2 number, since 2×5060098562952 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506009856293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4708279 + ... + 4814551.

It is an arithmetic number, because the mean of its divisors is an integer number (38035783422).

Almost surely, 2506009856295 is an apocalyptic number.

506009856295 is a deficient number, since it is larger than the sum of its proper divisors (102562678457).

506009856295 is a wasteful number, since it uses less digits than its factorization.

506009856295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108402.

The product of its (nonzero) digits is 5832000, while the sum is 55.

The spelling of 506009856295 in words is "five hundred six billion, nine million, eight hundred fifty-six thousand, two hundred ninety-five".

Divisors: 1 5 643 1481 3215 7405 106273 531365 952283 4761415 68333539 157390313 341667695 786951565 101201971259 506009856295