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44407147668 = 2231310313720173
BaseRepresentation
bin101001010110110111…
…110100110010010100
311020121210212211112220
4221112313310302110
51211421212211133
632222251142340
73131310345552
oct512667646224
9136553784486
1044407147668
111791874a344
128733a449b0
134259148a50
142213a26bd2
15124d8835b3
hexa56df4c94

44407147668 has 96 divisors (see below), whose sum is σ = 113498601216. Its totient is φ = 13431647232.

The previous prime is 44407147651. The next prime is 44407147679. The reversal of 44407147668 is 86674170444.

It is a self number, because there is not a number n which added to its sum of digits gives 44407147668.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2191230 + ... + 2211402.

It is an arithmetic number, because the mean of its divisors is an integer number (1182277096).

Almost surely, 244407147668 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 44407147668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56749300608).

44407147668 is an abundant number, since it is smaller than the sum of its proper divisors (69091453548).

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

44407147668 is a wasteful number, since it uses less digits than its factorization.

44407147668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20433 (or 20431 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 44407147668 in words is "forty-four billion, four hundred seven million, one hundred forty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 137 156 206 274 309 411 412 548 618 822 1236 1339 1644 1781 2678 3562 4017 5343 5356 7124 8034 10686 14111 16068 20173 21372 28222 40346 42333 56444 60519 80692 84666 121038 169332 183443 242076 262249 366886 524498 550329 733772 786747 1048996 1100658 1573494 2077819 2201316 2763701 3146988 4155638 5527402 6233457 8291103 8311276 11054804 12466914 16582206 24933828 27011647 33164412 35928113 54023294 71856226 81034941 107784339 108046588 143712452 162069882 215568678 284661203 324139764 431137356 569322406 853983609 1138644812 1707967218 3415934436 3700595639 7401191278 11101786917 14802382556 22203573834 44407147668