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82348313355024 = 24343157254123813
BaseRepresentation
bin10010101110010100110101…
…111101110010001100010000
3101210120102101112201122000120
4102232110311331302030100
541243143321204330044
6451050143133350240
723226316654233363
oct2256246575621420
9353512345648016
1082348313355024
11242697a6088a02
12929b7a3638380
1336c4549713312
141649972caa0da
1597c106853519
hex4ae535f72310

82348313355024 has 80 divisors (see below), whose sum is σ = 219066925611072. Its totient is φ = 26640307459584.

The previous prime is 82348313355019. The next prime is 82348313355053. The reversal of 82348313355024 is 42055331384328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126737859 + ... + 127385954.

Almost surely, 282348313355024 is an apocalyptic number.

It is an amenable number.

82348313355024 is an abundant number, since it is smaller than the sum of its proper divisors (136718612256048).

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

82348313355024 is a wasteful number, since it uses less digits than its factorization.

82348313355024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254124024 (or 254124018 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 82348313355024 in words is "eighty-two trillion, three hundred forty-eight billion, three hundred thirteen million, three hundred fifty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 157 172 258 314 344 471 516 628 688 942 1032 1256 1884 2064 2512 3768 6751 7536 13502 20253 27004 40506 54008 81012 108016 162024 324048 254123813 508247626 762371439 1016495252 1524742878 2032990504 3049485756 4065981008 6098971512 10927323959 12197943024 21854647918 32781971877 39897438641 43709295836 65563943754 79794877282 87418591672 119692315923 131127887508 159589754564 174837183344 239384631846 262255775016 319179509128 478769263692 524511550032 638359018256 957538527384 1715589861563 1915077054768 3431179723126 5146769584689 6862359446252 10293539169378 13724718892504 20587078338756 27449437785008 41174156677512 82348313355024