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46499499464 = 23112232972019
BaseRepresentation
bin101011010011100101…
…100000110111001000
311110000122000022121212
4223103211200313020
51230212332440324
633210033352252
73234205136555
oct532345406710
9143018008555
1046499499464
11187a1834200
129018708688
134500789632
142371881a2c
1513223d970e
hexad3960dc8

46499499464 has 96 divisors (see below), whose sum is σ = 103449528000. Its totient is φ = 19519758720.

The previous prime is 46499499391. The next prime is 46499499481.

46499499464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46499499394 and 46499499403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609647 + ... + 681665.

It is an arithmetic number, because the mean of its divisors is an integer number (1077599250).

Almost surely, 246499499464 is an apocalyptic number.

46499499464 is a gapful number since it is divisible by the number (44) 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 46499499464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51724764000).

46499499464 is an abundant number, since it is smaller than the sum of its proper divisors (56950028536).

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

46499499464 is a wasteful number, since it uses less digits than its factorization.

46499499464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72099 (or 72084 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 68.

The spelling of 46499499464 in words is "forty-six billion, four hundred ninety-nine million, four hundred ninety-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 116 121 184 232 242 253 319 484 506 638 667 968 1012 1276 1334 2024 2552 2668 2783 3509 5336 5566 7018 7337 11132 14036 14674 22264 28072 29348 58696 72019 80707 144038 161414 288076 322828 576152 645656 792209 1584418 1656437 2088551 3168836 3312874 4177102 6337672 6625748 8354204 8714299 13251496 16708408 17428598 18220807 22974061 34857196 36441614 45948122 48036673 69714392 72883228 91896244 96073346 145766456 183792488 192146692 200428877 252714671 384293384 400857754 505429342 528403403 801715508 1010858684 1056806806 1603431016 2021717368 2113613612 4227227224 5812437433 11624874866 23249749732 46499499464