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100463044656 = 24313315193499
BaseRepresentation
bin101110110010000010…
…0000110100000110000
3100121022102221110002210
41131210010012200300
53121222014412111
6114052503412120
710154365534632
oct1354404064060
9317272843083
10100463044656
1139673851437
1217578a54040
139620725a70
144c10756a52
15292ec030a6
hex1764106830

100463044656 has 80 divisors (see below), whose sum is σ = 288509312000. Its totient is φ = 29914548480.

The previous prime is 100463044639. The next prime is 100463044679. The reversal of 100463044656 is 656440364001.

100463044656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1004630446563 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2577406 + ... + 2616093.

It is an arithmetic number, because the mean of its divisors is an integer number (3606366400).

Almost surely, 2100463044656 is an apocalyptic number.

100463044656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100463044656 is an abundant number, since it is smaller than the sum of its proper divisors (188046267344).

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

100463044656 is a wasteful number, since it uses less digits than its factorization.

100463044656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193554 (or 5193548 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 100463044656 in words is "one hundred billion, four hundred sixty-three million, forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 19344 5193499 10386998 15580497 20773996 31160994 41547992 62321988 67515487 83095984 124643976 135030974 160998469 202546461 249287952 270061948 321996938 405092922 482995407 540123896 643993876 810185844 965990814 1080247792 1287987752 1620371688 1931981628 2092980097 2575975504 3240743376 3863963256 4185960194 6278940291 7727926512 8371920388 12557880582 16743840776 25115761164 33487681552 50231522328 100463044656