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492064965126 = 23374338379043
BaseRepresentation
bin1110010100100010101…
…10111000001000000110
31202001002212001011202000
413022101112320020012
531030222112341001
61014015043530130
750356554123030
oct7122126701006
91661085034660
10492064965126
1117a757932339
127b447689946
133752b202877
1419b5d42ac50
15cbee1bba86
hex72915b8206

492064965126 has 128 divisors (see below), whose sum is σ = 1282106327040. Its totient is φ = 136960183584.

The previous prime is 492064965113. The next prime is 492064965127. The reversal of 492064965126 is 621569460294.

492064965126 is a `hidden beast` number, since 4 + 9 + 20 + 6 + 496 + 5 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492064965127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6185761 + ... + 6264803.

It is an arithmetic number, because the mean of its divisors is an integer number (10016455680).

Almost surely, 2492064965126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492064965126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641053163520).

492064965126 is an abundant number, since it is smaller than the sum of its proper divisors (790041361914).

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

492064965126 is a wasteful number, since it uses less digits than its factorization.

492064965126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79487 (or 79481 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 492064965126 in words is "four hundred ninety-two billion, sixty-four million, nine hundred sixty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 383 387 602 766 774 903 1149 1161 1806 2298 2322 2681 2709 3447 5362 5418 6894 8043 8127 10341 16086 16254 16469 20682 24129 32938 48258 49407 72387 79043 98814 115283 144774 148221 158086 230566 237129 296442 345849 444663 474258 553301 691698 711387 889326 1037547 1106602 1422774 1659903 2075094 2134161 3112641 3319806 3398849 4268322 4979709 6225282 6797698 9959418 10196547 14939127 20393094 23791943 29878254 30273469 30589641 47583886 60546938 61179282 71375829 90820407 91768923 142751658 181640814 183537846 211914283 214127487 272461221 423828566 428254974 544922442 635742849 642382461 817383663 1271485698 1284764922 1301759167 1634767326 1907228547 2603518334 3814457094 3905277501 5721685641 7810555002 9112314169 11443371282 11715832503 18224628338 23431665006 27336942507 35147497509 54673885014 70294995018 82010827521 164021655042 246032482563 492064965126