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44504397252 = 22327296599241
BaseRepresentation
bin101001011100101010…
…110011010111000100
311020212120212121220100
4221130222303113010
51212121111203002
632240043404100
73133601064210
oct513452632704
9136776777810
1044504397252
11179686323a7
128760523630
134273338693
1422228dd940
15125719311c
hexa5cab35c4

44504397252 has 144 divisors (see below), whose sum is σ = 133217884800. Its totient is φ = 12257118720.

The previous prime is 44504397251. The next prime is 44504397253. The reversal of 44504397252 is 25279340544.

44504397252 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 4 + 397 + 252 = 666.

44504397252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44504397251) and next prime (44504397253).

It is a junction number, because it is equal to n+sod(n) for n = 44504397198 and 44504397207.

It is not an unprimeable number, because it can be changed into a prime (44504397251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4811352 + ... + 4820592.

It is an arithmetic number, because the mean of its divisors is an integer number (925124200).

Almost surely, 244504397252 is an apocalyptic number.

44504397252 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 44504397252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66608942400).

44504397252 is an abundant number, since it is smaller than the sum of its proper divisors (88713487548).

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

44504397252 is a wasteful number, since it uses less digits than its factorization.

44504397252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 44504397252 in words is "forty-four billion, five hundred four million, three hundred ninety-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 659 812 1044 1218 1318 1827 1977 2436 2636 3654 3954 4613 5931 7308 7908 9226 9241 11862 13839 18452 18482 19111 23724 27678 27723 36964 38222 41517 55356 55446 57333 64687 76444 83034 83169 110892 114666 129374 133777 166068 166338 171999 194061 229332 258748 267554 267989 332676 343998 388122 401331 535108 535978 582183 687996 776244 802662 803967 1071956 1164366 1203993 1605324 1607934 1875923 2328732 2407986 2411901 3215868 3751846 4815972 4823802 5627769 6089819 7503692 9647604 11255538 12179638 16883307 18269457 22511076 24359276 33766614 36538914 42628733 54808371 67533228 73077828 85257466 109616742 127886199 170514932 176604751 219233484 255772398 353209502 383658597 511544796 529814253 706419004 767317194 1059628506 1236233257 1534634388 1589442759 2119257012 2472466514 3178885518 3708699771 4944933028 6357771036 7417399542 11126099313 14834799084 22252198626 44504397252