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44704859472 = 243371317151443
BaseRepresentation
bin101001101000100111…
…100000010101010000
311021101120002011101000
4221220213200111100
51213023421000342
632312004142000
73141554015160
oct515047402520
9137346064330
1044704859472
1117a60800659
1287b7697900
1342a5a25190
1422413a25a0
151269a8e44c
hexa689e0550

44704859472 has 640 divisors, whose sum is σ = 168709201920. Its totient is φ = 10998374400.

The previous prime is 44704859467. The next prime is 44704859509. The reversal of 44704859472 is 27495840744.

44704859472 is a `hidden beast` number, since 4 + 4 + 7 + 0 + 48 + 594 + 7 + 2 = 666.

It is a super-2 number, since 2×447048594722 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 100913683 + ... + 100914125.

It is an arithmetic number, because the mean of its divisors is an integer number (263608128).

Almost surely, 244704859472 is an apocalyptic number.

44704859472 is a gapful number since it is divisible by the number (42) 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 44704859472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84354600960).

44704859472 is an abundant number, since it is smaller than the sum of its proper divisors (124004342448).

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

44704859472 is a wasteful number, since it uses less digits than its factorization.

44704859472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 44704859472 in words is "forty-four billion, seven hundred four million, eight hundred fifty-nine thousand, four hundred seventy-two".