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104388891372 = 22335323937621
BaseRepresentation
bin110000100111000010…
…0000001001011101100
3100222110001010010101000
41201032010001023230
53202242024010442
6115542224120300
710353565636113
oct1411604011354
9328401103330
10104388891372
11402a8898157
1218293766090
139ac7b8339c
1450a3cc6c7a
152aae6cbd4c
hex184e1012ec

104388891372 has 96 divisors (see below), whose sum is σ = 275895668160. Its totient is φ = 34121018880.

The previous prime is 104388891371. The next prime is 104388891377. The reversal of 104388891372 is 273198883401.

It is a happy number.

104388891372 is a `hidden beast` number, since 10 + 438 + 88 + 91 + 37 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (104388891371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13693722 + ... + 13701342.

It is an arithmetic number, because the mean of its divisors is an integer number (2873913210).

Almost surely, 2104388891372 is an apocalyptic number.

104388891372 is a gapful number since it is divisible by the number (12) 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 104388891372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137947834080).

104388891372 is an abundant number, since it is smaller than the sum of its proper divisors (171506776788).

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

104388891372 is a wasteful number, since it uses less digits than its factorization.

104388891372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10080 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 104388891372 in words is "one hundred four billion, three hundred eighty-eight million, eight hundred ninety-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2393 2862 4786 5724 7179 7621 9572 14358 15242 21537 22863 28716 30484 43074 45726 64611 68589 86148 91452 126829 129222 137178 205767 253658 258444 274356 380487 403913 411534 507316 760974 807826 823068 1141461 1211739 1521948 1615652 2282922 2423478 3424383 3635217 4565844 4846956 6848766 7270434 10905651 13697532 14540868 18237053 21811302 36474106 43622604 54711159 72948212 109422318 164133477 218844636 328266954 492400431 656533908 966563809 984800862 1933127618 1969601724 2899691427 3866255236 5799382854 8699074281 11598765708 17398148562 26097222843 34796297124 52194445686 104388891372