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44941437684 = 223511133131033
BaseRepresentation
bin101001110110101101…
…111110101011110100
311022000001020120200000
4221312231332223310
51214020002001214
632351254551300
73150455626443
oct516655765364
9138001216600
1044941437684
11180722a7340
128862968530
134312a486a0
142264986d5a
151280721809
hexa76b7eaf4

44941437684 has 288 divisors, whose sum is σ = 138982107264. Its totient is φ = 12518737920.

The previous prime is 44941437679. The next prime is 44941437689. The reversal of 44941437684 is 48673414944.

It is a happy number.

44941437684 is a `hidden beast` number, since 4 + 494 + 1 + 4 + 3 + 76 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (44941437679) and next prime (44941437689).

It is a super-2 number, since 2×449414376842 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44941437684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44941437689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43505232 + ... + 43506264.

Almost surely, 244941437684 is an apocalyptic number.

44941437684 is a gapful number since it is divisible by the number (44) 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 44941437684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69491053632).

44941437684 is an abundant number, since it is smaller than the sum of its proper divisors (94040669580).

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

44941437684 is a wasteful number, since it uses less digits than its factorization.

44941437684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 44941437684 in words is "forty-four billion, nine hundred forty-one million, four hundred thirty-seven thousand, six hundred eighty-four".