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326157376104 = 23327821788231
BaseRepresentation
bin1001011111100000111…
…11101001101001101000
31011011212110122102002200
410233300133221221220
520320432242013404
6405500140300200
732364324645150
oct4576037515150
91134773572080
10326157376104
111163603770aa
1253265541660
13249ab084651
1411b010c1760
15873dc9c839
hex4bf07e9a68

326157376104 has 96 divisors (see below), whose sum is σ = 1010765658240. Its totient is φ = 93074198400.

The previous prime is 326157376067. The next prime is 326157376123. The reversal of 326157376104 is 401673751623.

326157376104 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 573 + 76 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×3261573761042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 326157376104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19669 + ... + 807899.

It is an arithmetic number, because the mean of its divisors is an integer number (10528808940).

Almost surely, 2326157376104 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 326157376104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505382829120).

326157376104 is an abundant number, since it is smaller than the sum of its proper divisors (684608282136).

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

326157376104 is a wasteful number, since it uses less digits than its factorization.

326157376104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789071 (or 789064 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 326157376104 in words is "three hundred twenty-six billion, one hundred fifty-seven million, three hundred seventy-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 821 1642 2463 3284 4926 5747 6568 7389 9852 11494 14778 17241 19704 22988 29556 34482 45976 51723 59112 68964 103446 137928 206892 413784 788231 1576462 2364693 3152924 4729386 5517617 6305848 7094079 9458772 11035234 14188158 16552851 18917544 22070468 28376316 33105702 44140936 49658553 56752632 66211404 99317106 132422808 198634212 397268424 647137651 1294275302 1941412953 2588550604 3882825906 4529963557 5177101208 5824238859 7765651812 9059927114 11648477718 13589890671 15531303624 18119854228 23296955436 27179781342 36239708456 40769672013 46593910872 54359562684 81539344026 108719125368 163078688052 326157376104