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75426441372 = 22323123596073
BaseRepresentation
bin100011000111111000…
…1000010100010011100
321012200121011020000200
41012033301002202130
52213433132110442
654352254223500
75310065113302
oct1061761024234
9235617136020
1075426441372
1129a96294867
12127501b4b90
137160744ac9
1439175a2272
151e66c0034c
hex118fc4289c

75426441372 has 108 divisors (see below), whose sum is σ = 197591350320. Its totient is φ = 24259340160.

The previous prime is 75426441371. The next prime is 75426441373. The reversal of 75426441372 is 27314462457.

75426441372 is a `hidden beast` number, since 7 + 542 + 64 + 41 + 3 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (75426441371) and next prime (75426441373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75426441371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12416928 + ... + 12423000.

It is an arithmetic number, because the mean of its divisors is an integer number (1829549540).

Almost surely, 275426441372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75426441372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98795675160).

75426441372 is an abundant number, since it is smaller than the sum of its proper divisors (122164908948).

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

75426441372 is a wasteful number, since it uses less digits than its factorization.

75426441372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6468 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 75426441372 in words is "seventy-five billion, four hundred twenty-six million, four hundred forty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 359 372 558 718 961 1077 1116 1436 1922 2154 2883 3231 3844 4308 5766 6073 6462 8649 11129 11532 12146 12924 17298 18219 22258 24292 33387 34596 36438 44516 54657 66774 72876 100161 109314 133548 188263 200322 218628 344999 376526 400644 564789 689998 753052 1034997 1129578 1379996 1694367 2069994 2180207 2259156 3104991 3388734 4139988 4360414 5836153 6209982 6540621 6777468 8720828 11672306 12419964 13081242 17508459 19621863 23344612 26162484 35016918 39243726 52525377 67586417 70033836 78487452 105050754 135172834 202759251 210101508 270345668 405518502 608277753 811037004 1216555506 2095178927 2433111012 4190357854 6285536781 8380715708 12571073562 18856610343 25142147124 37713220686 75426441372