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44400436464 = 2433135983117
BaseRepresentation
bin101001010110011110…
…001110010011110000
311020121100020212111210
4221112132032103300
51211413002431324
632221451240120
73131166324426
oct512636162360
9136540225453
1044400436464
111791498609a
128731749040
134257939117
142212b9b116
15124cea9d29
hexa5678e4f0

44400436464 has 80 divisors (see below), whose sum is σ = 118732400640. Its totient is φ = 14282653440.

The previous prime is 44400436441. The next prime is 44400436481. The reversal of 44400436464 is 46463400444.

44400436464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492634 + ... + 575750.

It is an arithmetic number, because the mean of its divisors is an integer number (1484155008).

Almost surely, 244400436464 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 44400436464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59366200320).

44400436464 is an abundant number, since it is smaller than the sum of its proper divisors (74331964176).

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

44400436464 is a wasteful number, since it uses less digits than its factorization.

44400436464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83518 (or 83512 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

The spelling of 44400436464 in words is "forty-four billion, four hundred million, four hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 359 372 496 718 744 1077 1436 1488 2154 2872 4308 5744 8616 11129 17232 22258 33387 44516 66774 83117 89032 133548 166234 178064 249351 267096 332468 498702 534192 664936 997404 1329872 1994808 2576627 3989616 5153254 7729881 10306508 15459762 20613016 29839003 30919524 41226032 59678006 61839048 89517009 119356012 123678096 179034018 238712024 358068036 477424048 716136072 925009093 1432272144 1850018186 2775027279 3700036372 5550054558 7400072744 11100109116 14800145488 22200218232 44400436464