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473668755168 = 25376011172819
BaseRepresentation
bin1101110010010001101…
…10111001111011100000
31200021121210022212211110
412321020312321323200
530230033200131133
61001333405143320
746135644662610
oct6711066717340
91607553285743
10473668755168
11172977733534
127797285ab40
1335888b89b2b
1418cd6144a40
15c4c414cc63
hex6e48db9ee0

473668755168 has 96 divisors (see below), whose sum is σ = 1423371882240. Its totient is φ = 135108633600.

The previous prime is 473668755151. The next prime is 473668755223. The reversal of 473668755168 is 861557866374.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 473668755099 and 473668755108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182538 + ... + 990281.

It is an arithmetic number, because the mean of its divisors is an integer number (14826790440).

Almost surely, 2473668755168 is an apocalyptic number.

473668755168 is a gapful number since it is divisible by the number (48) 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 473668755168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711685941120).

473668755168 is an abundant number, since it is smaller than the sum of its proper divisors (949703127072).

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

473668755168 is a wasteful number, since it uses less digits than its factorization.

473668755168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173440 (or 1173432 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 66.

The spelling of 473668755168 in words is "four hundred seventy-three billion, six hundred sixty-eight million, seven hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 601 672 1202 1803 2404 3606 4207 4808 7212 8414 9616 12621 14424 16828 19232 25242 28848 33656 50484 57696 67312 100968 134624 201936 403872 1172819 2345638 3518457 4691276 7036914 8209733 9382552 14073828 16419466 18765104 24629199 28147656 32838932 37530208 49258398 56295312 65677864 98516796 112590624 131355728 197033592 262711456 394067184 704864219 788134368 1409728438 2114592657 2819456876 4229185314 4934049533 5638913752 8458370628 9868099066 11277827504 14802148599 16916741256 19736198132 22555655008 29604297198 33833482512 39472396264 59208594396 67666965024 78944792528 118417188792 157889585056 236834377584 473668755168