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44332882425 = 32521397156253
BaseRepresentation
bin101001010010011100…
…100001100111111001
311020102122010202210100
4221102130201213321
51211243204214200
632211035310013
73126416166036
oct512234414771
9136378122710
1044332882425
111788a835807
128712bab309
134246945a10
142207c1438d
1512470b3d00
hexa527219f9

44332882425 has 72 divisors (see below), whose sum is σ = 86395336664. Its totient is φ = 21600276480.

The previous prime is 44332882393. The next prime is 44332882427. The reversal of 44332882425 is 52428823344.

44332882425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 36574267536 + 7758614889 = 191244^2 + 88083^2 .

It is not a de Polignac number, because 44332882425 - 25 = 44332882393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (44332882427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205599 + ... + 361851.

Almost surely, 244332882425 is an apocalyptic number.

44332882425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44332882425 is a deficient number, since it is larger than the sum of its proper divisors (42062454239).

44332882425 is a wasteful number, since it uses less digits than its factorization.

44332882425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156379 (or 156371 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 44332882425 in words is "forty-four billion, three hundred thirty-two million, eight hundred eighty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 97 117 195 225 291 325 485 585 873 975 1261 1455 2425 2925 3783 4365 6305 7275 11349 18915 21825 31525 56745 94575 156253 283725 468759 781265 1406277 2031289 2343795 3906325 6093867 7031385 10156445 11718975 15156541 18281601 30469335 35156925 45469623 50782225 75782705 91408005 136408869 152346675 197035033 227348115 378913525 457040025 591105099 682044345 985175165 1136740575 1773315297 2955525495 3410221725 4925875825 8866576485 14777627475 44332882425