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44374927680 = 2633529231197
BaseRepresentation
bin101001010100111100…
…111010100101000000
311020112120020220001000
4221110330322211000
51211334440141210
632215140412000
73130436442666
oct512474724500
9136476226030
1044374927680
1117901542a56
1287250a7000
134252577475
14220d63ac36
15124ab1bac0
hexa54f3a940

44374927680 has 672 divisors, whose sum is σ = 168208634880. Its totient is φ = 11000586240.

The previous prime is 44374927627. The next prime is 44374927693. The reversal of 44374927680 is 8672947344.

44374927680 is a `hidden beast` number, since 4 + 4 + 3 + 7 + 492 + 76 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225253342 + ... + 225253538.

Almost surely, 244374927680 is an apocalyptic number.

44374927680 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 44374927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84104317440).

44374927680 is an abundant number, since it is smaller than the sum of its proper divisors (123833707200).

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

44374927680 is a wasteful number, since it uses less digits than its factorization.

44374927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 44374927680 in words is "forty-four billion, three hundred seventy-four million, nine hundred twenty-seven thousand, six hundred eighty".