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172327416008 = 231117379303937
BaseRepresentation
bin1010000001111110000…
…0111011000011001000
3121110210210102202200012
42200133200323003020
510310411304303013
6211055514331052
715310301603366
oct2403740730310
9543723382605
10172327416008
11670a1374280
1229494129a88
13133341ab017
1484aac00636
154738d351a8
hex281f83b0c8

172327416008 has 64 divisors (see below), whose sum is σ = 374208465600. Its totient is φ = 73528197120.

The previous prime is 172327416007. The next prime is 172327416031. The reversal of 172327416008 is 800614723271.

172327416008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (172327416007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415016 + ... + 718952.

It is an arithmetic number, because the mean of its divisors is an integer number (5847007275).

Almost surely, 2172327416008 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 172327416008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187104232800).

172327416008 is an abundant number, since it is smaller than the sum of its proper divisors (201881049592).

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

172327416008 is a wasteful number, since it uses less digits than its factorization.

172327416008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304350 (or 304346 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 172327416008 in words is "one hundred seventy-two billion, three hundred twenty-seven million, four hundred sixteen thousand, eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 379 748 758 1496 1516 3032 4169 6443 8338 12886 16676 25772 33352 51544 70873 141746 283492 303937 566984 607874 1215748 2431496 3343307 5166929 6686614 10333858 13373228 20667716 26746456 41335432 56836219 113672438 115192123 227344876 230384246 454689752 460768492 921536984 1267113353 1958266091 2534226706 3916532182 5068453412 7833064364 10136906824 15666128728 21540927001 43081854002 86163708004 172327416008