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44864494064 = 2413315322477
BaseRepresentation
bin101001110010001000…
…011101100111110000
311021210200110102212022
4221302020131213300
51213340302302224
632335505451012
73145532623145
oct516210354760
9137720412768
1044864494064
1118032923475
128841040a68
1342ccb18510
1422586783cc
151278ac365e
hexa7221d9f0

44864494064 has 120 divisors (see below), whose sum is σ = 98528610432. Its totient is φ = 19652705280.

The previous prime is 44864494043. The next prime is 44864494099. The reversal of 44864494064 is 46049446844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 44864493997 and 44864494015.

It is a congruent number.

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, 18111194 + ... + 18113670.

Almost surely, 244864494064 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 44864494064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49264305216).

44864494064 is an abundant number, since it is smaller than the sum of its proper divisors (53664116368).

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

44864494064 is a wasteful number, since it uses less digits than its factorization.

44864494064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 53.

The spelling of 44864494064 in words is "forty-four billion, eight hundred sixty-four million, four hundred ninety-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 31 52 53 62 104 106 124 208 212 248 403 424 496 689 806 848 1378 1612 1643 2477 2756 2809 3224 3286 4954 5512 5618 6448 6572 9908 11024 11236 13144 19816 21359 22472 26288 32201 36517 39632 42718 44944 64402 73034 76787 85436 87079 128804 131281 146068 153574 170872 174158 257608 262562 292136 307148 341744 348316 515216 525124 584272 614296 696632 998231 1050248 1132027 1228592 1393264 1706653 1996462 2100496 2264054 3413306 3992924 4069711 4528108 6826612 6957893 7985848 8139422 9056216 13653224 13915786 15971696 16278844 18112432 27306448 27831572 32557688 52906243 55663144 65115376 90452609 105812486 111326288 180905218 211624972 215694683 361810436 423249944 431389366 723620872 846499888 862778732 1447241744 1725557464 2804030879 3451114928 5608061758 11216123516 22432247032 44864494064