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4416076245132 = 2232173919977081
BaseRepresentation
bin100000001000011001010…
…1001111110100010001100
3120122011122221112221101100
41000100302221332202030
51034323111004321012
613220414543543100
7634023325511346
oct100206251764214
916564587487340
104416076245132
111452935a05972
125b3a46bbaa90
13260584c37256
14113a4c640296
1579d13e0a8dc
hex40432a7e88c

4416076245132 has 72 divisors (see below), whose sum is σ = 11228750769600. Its totient is φ = 1463338517760.

The previous prime is 4416076245101. The next prime is 4416076245137. The reversal of 4416076245132 is 2315426706144.

4416076245132 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 0 + 7 + 624 + 5 + 13 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4416076245137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57252832 + ... + 57329912.

It is an arithmetic number, because the mean of its divisors is an integer number (155954871800).

Almost surely, 24416076245132 is an apocalyptic number.

It is an amenable number.

4416076245132 is an abundant number, since it is smaller than the sum of its proper divisors (6812674524468).

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

4416076245132 is a wasteful number, since it uses less digits than its factorization.

4416076245132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86463 (or 86458 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4416076245132 in words is "four trillion, four hundred sixteen billion, seventy-six million, two hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 9199 18398 27597 36796 55194 77081 82791 110388 154162 165582 231243 308324 331164 462486 693729 924972 1387458 1591427 2774916 3182854 4774281 6365708 9548562 13335013 14322843 19097124 26670026 28645686 40005039 53340052 57291372 80010078 120015117 160020156 240030234 480060468 709068119 1418136238 2127204357 2836272476 4254408714 6381613071 8508817428 12763226142 25526452284 122668784587 245337569174 368006353761 490675138348 736012707522 1104019061283 1472025415044 2208038122566 4416076245132