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44630603644 = 221122331312809
BaseRepresentation
bin101001100100001100…
…001111011101111100
311021012101100120112011
4221210030033131330
51212400413304034
632300352421004
73136662604654
oct514414173574
9137171316464
1044630603644
1117a228a3100
128796847764
134293526513
142235593364
1512632c2864
hexa6430f77c

44630603644 has 72 divisors (see below), whose sum is σ = 89875164960. Its totient is φ = 19341104640.

The previous prime is 44630603639. The next prime is 44630603653.

It is a happy number.

44630603644 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44630603597 and 44630603606.

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 23 ways as a sum of consecutive naturals, for example, 3477912 + ... + 3490720.

It is an arithmetic number, because the mean of its divisors is an integer number (1248266180).

Almost surely, 244630603644 is an apocalyptic number.

44630603644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44630603644 is an abundant number, since it is smaller than the sum of its proper divisors (45244561316).

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

44630603644 is a wasteful number, since it uses less digits than its factorization.

44630603644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171 (or 13158 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

The spelling of 44630603644 in words is "forty-four billion, six hundred thirty million, six hundred three thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 313 484 506 626 1012 1252 2783 3443 5566 6886 7199 11132 12809 13772 14398 25618 28796 37873 51236 75746 79189 140899 151492 158378 281798 294607 316756 563596 589214 871079 1178428 1549889 1742158 3099778 3240677 3484316 4009217 6199556 6481354 8018434 12962708 16036868 35647447 44101387 71294894 88202774 92211991 142589788 176405548 184423982 368847964 485115257 970230514 1014331901 1940461028 2028663802 4057327604 11157650911 22315301822 44630603644