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44416893160 = 2354727092
BaseRepresentation
bin101001010111011101…
…000000000011101000
311020122111012221212001
4221113131000003220
51211431211040120
632223240100344
73131456235223
oct512735000350
9136574187761
1044416893160
11179231a6272
1287371646b4
13425b17b803
1422150425ba
15124e65ae0a
hexa577400e8

44416893160 has 72 divisors (see below), whose sum is σ = 102253813830. Its totient is φ = 17364215424.

The previous prime is 44416893133. The next prime is 44416893167. The reversal of 44416893160 is 6139861444.

It can be written as a sum of positive squares in 3 ways, for example, as 18246066084 + 26170827076 = 135078^2 + 161774^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 44416893160.

It is not an unprimeable number, because it can be changed into a prime (44416893167) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62646886 + ... + 62647594.

Almost surely, 244416893160 is an apocalyptic number.

44416893160 is a gapful number since it is divisible by the number (40) 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 44416893160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51126906915).

44416893160 is an abundant number, since it is smaller than the sum of its proper divisors (57836920670).

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

44416893160 is an frugal number, since it uses more digits than its factorization.

44416893160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 44416893160 in words is "forty-four billion, four hundred sixteen million, eight hundred ninety-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 709 940 1418 1880 2209 2836 3545 4418 5672 7090 8836 11045 14180 17672 22090 28360 33323 44180 66646 88360 133292 166615 266584 333230 502681 666460 1005362 1332920 1566181 2010724 2513405 3132362 4021448 5026810 6264724 7830905 10053620 12529448 15661810 20107240 23626007 31323620 47252014 62647240 94504028 118130035 189008056 236260070 472520140 945040280 1110422329 2220844658 4441689316 5552111645 8883378632 11104223290 22208446580 44416893160