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496342284636 = 22311231049155849
BaseRepresentation
bin1110011100100000100…
…11100011100101011100
31202110010221120112001010
413032100103203211130
531113002111102021
61020003321415220
750600552544222
oct7162023434534
91673127515033
10496342284636
11181552309840
128024003a510
1337a60410863
141a04752cb12
15cd9e970976
hex73904e395c

496342284636 has 96 divisors (see below), whose sum is σ = 1319613120000. Its totient is φ = 143729259520.

The previous prime is 496342284623. The next prime is 496342284653. The reversal of 496342284636 is 636482243694.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3106840 + ... + 3262688.

It is an arithmetic number, because the mean of its divisors is an integer number (13745970000).

Almost surely, 2496342284636 is an apocalyptic number.

496342284636 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496342284636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659806560000).

496342284636 is an abundant number, since it is smaller than the sum of its proper divisors (823270835364).

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

496342284636 is a wasteful number, since it uses less digits than its factorization.

496342284636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156939 (or 156937 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 57.

The spelling of 496342284636 in words is "four hundred ninety-six billion, three hundred forty-two million, two hundred eighty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1049 1518 2098 3036 3147 4196 6294 11539 12588 23078 24127 34617 46156 48254 69234 72381 96508 138468 144762 155849 265397 289524 311698 467547 530794 623396 796191 935094 1061588 1592382 1714339 1870188 3184764 3428678 3584527 5143017 6857356 7169054 10286034 10753581 14338108 20572068 21507162 39429797 43014324 78859594 118289391 157719188 163485601 236578782 326971202 473157564 490456803 653942404 980913606 1798341611 1961827212 3596683222 3760168823 5395024833 7193366444 7520337646 10790049666 11280506469 15040675292 21580099332 22561012938 41361857053 45122025876 82723714106 124085571159 165447428212 248171142318 496342284636