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44527199904 = 25331147831201
BaseRepresentation
bin101001011110000001…
…110010011010100000
311020221011210010021000
4221132001302122200
51212142430344104
632242220232000
73134265645225
oct513601623240
9136834703230
1044527199904
111797a497370
12876809b600
134277c90685
14222595794c
151259199639
hexa5e0726a0

44527199904 has 384 divisors, whose sum is σ = 146557071360. Its totient is φ = 13036032000.

The previous prime is 44527199887. The next prime is 44527199963. The reversal of 44527199904 is 40999172544.

44527199904 is a `hidden beast` number, since 445 + 2 + 7 + 199 + 9 + 0 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 37074504 + ... + 37075704.

It is an arithmetic number, because the mean of its divisors is an integer number (381659040).

Almost surely, 244527199904 is an apocalyptic number.

44527199904 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 44527199904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73278535680).

44527199904 is an abundant number, since it is smaller than the sum of its proper divisors (102029871456).

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

44527199904 is a wasteful number, since it uses less digits than its factorization.

44527199904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 44527199904 in words is "forty-four billion, five hundred twenty-seven million, one hundred ninety-nine thousand, nine hundred four".