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104447338624 = 2741166711939
BaseRepresentation
bin110000101000110001…
…0111110100010000000
3100222121010002112221001
41201101202332202000
53202402004313444
6115552112541344
710355205505216
oct1412142764200
9328533075831
10104447338624
1140328888472
12182ab251854
139b07008665
1450ab97ccb6
152ab48c48d4
hex18518be880

104447338624 has 64 divisors (see below), whose sum is σ = 213299503200. Its totient is φ = 50915092480.

The previous prime is 104447338613. The next prime is 104447338657. The reversal of 104447338624 is 426833744401.

It is a happy number.

104447338624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8742447 + ... + 8754385.

Almost surely, 2104447338624 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 104447338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106649751600).

104447338624 is an abundant number, since it is smaller than the sum of its proper divisors (108852164576).

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

104447338624 is a wasteful number, since it uses less digits than its factorization.

104447338624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13661 (or 13649 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 46.

The spelling of 104447338624 in words is "one hundred four billion, four hundred forty-seven million, three hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 1667 2624 3334 5248 6668 11939 13336 23878 26672 47756 53344 68347 95512 106688 136694 191024 213376 273388 382048 489499 546776 764096 978998 1093552 1528192 1957996 2187104 3915992 4374208 7831984 8748416 15663968 19902313 31327936 39804626 62655872 79609252 159218504 318437008 636874016 815994833 1273748032 1631989666 2547496064 3263979332 6527958664 13055917328 26111834656 52223669312 104447338624