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496417144132 = 227131762777369
BaseRepresentation
bin1110011100101001100…
…01000111110101000100
31202110100011102202222001
413032110301013311010
531113130242103012
61020014554115044
750602452050410
oct7162461076504
91673304382861
10496417144132
11181590599898
128026111ba84
1337a72a91210
141a053457d40
15cda630b357
hex7394c47d44

496417144132 has 48 divisors (see below), whose sum is σ = 1069280634240. Its totient is φ = 196371124992.

The previous prime is 496417144081. The next prime is 496417144141. The reversal of 496417144132 is 231441714694.

It is an unprimeable number.

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, 6377544 + ... + 6454912.

It is an arithmetic number, because the mean of its divisors is an integer number (22276679880).

Almost surely, 2496417144132 is an apocalyptic number.

It is an amenable number.

496417144132 is an abundant number, since it is smaller than the sum of its proper divisors (572863490108).

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

496417144132 is a wasteful number, since it uses less digits than its factorization.

496417144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95020 (or 95018 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The spelling of 496417144132 in words is "four hundred ninety-six billion, four hundred seventeen million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 17627 35254 70508 77369 123389 154738 229151 246778 309476 458302 493556 541583 916604 1005797 1083166 1604057 2011594 2166332 3208114 4023188 6416228 7040579 14081158 28162316 1363783363 2727566726 5455133452 9546483541 17729183719 19092967082 35458367438 38185934164 70916734876 124104286033 248208572066 496417144132