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492337906688 = 2108921125603
BaseRepresentation
bin1110010101000011010…
…00000100010000000000
31202001210212122001011202
413022201220010100000
531031302001003223
61014102114000332
750366410105025
oct7124150042000
91661725561152
10492337906688
1117a887a05381
127b502b760a8
1337572918554
1419b8779954c
15cc18133428
hex72a1a04400

492337906688 has 88 divisors (see below), whose sum is σ = 1000009283040. Its totient is φ = 242239979520.

The previous prime is 492337906673. The next prime is 492337906699. The reversal of 492337906688 is 886609733294.

It is a super-2 number, since 2×4923379066882 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19216895 + ... + 19242497.

Almost surely, 2492337906688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492337906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500004641520).

492337906688 is an abundant number, since it is smaller than the sum of its proper divisors (507671376352).

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

492337906688 is a wasteful number, since it uses less digits than its factorization.

492337906688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25923 (or 25905 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 65.

The spelling of 492337906688 in words is "four hundred ninety-two billion, three hundred thirty-seven million, nine hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 211 256 356 422 512 712 844 1024 1424 1688 2848 3376 5696 6752 11392 13504 18779 22784 25603 27008 37558 45568 51206 54016 75116 91136 102412 108032 150232 204824 216064 300464 409648 600928 819296 1201856 1638592 2278667 2403712 3277184 4557334 4807424 5402233 6554368 9114668 9614848 10804466 13108736 18229336 19229696 21608932 26217472 36458672 43217864 72917344 86435728 145834688 172871456 291669376 345742912 480798737 583338752 691485824 961597474 1166677504 1382971648 1923194948 2333355008 2765943296 3846389896 5531886592 7692779792 15385559584 30771119168 61542238336 123084476672 246168953344 492337906688