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44374561668 = 223311319119037
BaseRepresentation
bin101001010100111011…
…100001001110000100
311020112112120021222000
4221110323201032010
51211334341433133
632215124505300
73130433356623
oct512473411604
9136475507860
1044374561668
1117901312a68
128724b4b230
1342524799a8
14220d5836ba
15124aa98413
hexa54ee1384

44374561668 has 96 divisors (see below), whose sum is σ = 116677048320. Its totient is φ = 14583098880.

The previous prime is 44374561657. The next prime is 44374561711. The reversal of 44374561668 is 86616547344.

44374561668 is a `hidden beast` number, since 4 + 4 + 3 + 74 + 561 + 6 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2321446 + ... + 2340482.

It is an arithmetic number, because the mean of its divisors is an integer number (1215385920).

Almost surely, 244374561668 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 44374561668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58338524160).

44374561668 is an abundant number, since it is smaller than the sum of its proper divisors (72302486652).

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

44374561668 is a wasteful number, since it uses less digits than its factorization.

44374561668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354 (or 19346 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 44374561668 in words is "forty-four billion, three hundred seventy-four million, five hundred sixty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 191 226 339 382 452 573 678 764 1017 1146 1356 1719 2034 2292 3051 3438 4068 5157 6102 6876 10314 12204 19037 20628 21583 38074 43166 57111 64749 76148 86332 114222 129498 171333 194247 228444 258996 342666 388494 513999 582741 685332 776988 1027998 1165482 2055996 2151181 2330964 3636067 4302362 6453543 7272134 8604724 10908201 12907086 14544268 19360629 21816402 25814172 32724603 38721258 43632804 58081887 65449206 77442516 98173809 116163774 130898412 196347618 232327548 392695236 410875571 821751142 1232626713 1643502284 2465253426 3697880139 4930506852 7395760278 11093640417 14791520556 22187280834 44374561668