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6456121631058 = 23111632272643713
BaseRepresentation
bin101110111110010111011…
…0101100010000101010010
3211212012101012212011122010
41131330232311202011102
51321234114114143213
621421522404323350
71234303466256621
oct135745665420522
924765335764563
106456121631058
11206a031393920
128832a60a3556
1337aa6aa82048
141846997136b8
15b2e12887ac3
hex5df2ed62152

6456121631058 has 64 divisors (see below), whose sum is σ = 14234940559872. Its totient is φ = 1935831674880.

The previous prime is 6456121630993. The next prime is 6456121631077. The reversal of 6456121631058 is 8501361216546.

It is a junction number, because it is equal to n+sod(n) for n = 6456121630998 and 6456121631016.

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 31 ways as a sum of consecutive naturals, for example, 1120210 + ... + 3763922.

It is an arithmetic number, because the mean of its divisors is an integer number (222420946248).

Almost surely, 26456121631058 is an apocalyptic number.

6456121631058 is an abundant number, since it is smaller than the sum of its proper divisors (7778818928814).

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

6456121631058 is a wasteful number, since it uses less digits than its factorization.

6456121631058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644119.

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 6456121631058 in words is "six trillion, four hundred fifty-six billion, one hundred twenty-one million, six hundred thirty-one thousand, fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 163 227 326 454 489 681 978 1362 1793 2497 3586 4994 5379 7491 10758 14982 37001 74002 111003 222006 407011 814022 1221033 2442066 2643713 5287426 7931139 15862278 29080843 58161686 87242529 174485058 430925219 600122851 861850438 1200245702 1292775657 1800368553 2585551314 3600737106 4740177409 6601351361 9480354818 13202702722 14220532227 19804054083 28441064454 39608108166 97820024713 195640049426 293460074139 586920148278 1076020271843 2152040543686 3228060815529 6456121631058