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642232468176 = 243138091272211
BaseRepresentation
bin10010101100010000000…
…10011100001011010000
32021101201021200201121020
421112020002130023100
541010243002440201
61211012034355440
764254055623255
oct11261002341320
92241637621536
10642232468176
11228407537a62
12a457642bb80
134874039b950
142312714142c
1511a8c836a36
hex958809c2d0

642232468176 has 80 divisors (see below), whose sum is σ = 1788933625920. Its totient is φ = 197365570560.

The previous prime is 642232468151. The next prime is 642232468231. The reversal of 642232468176 is 671864232246.

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, 131290 + ... + 1140921.

It is an arithmetic number, because the mean of its divisors is an integer number (22361670324).

Almost surely, 2642232468176 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 642232468176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894466812960).

642232468176 is an abundant number, since it is smaller than the sum of its proper divisors (1146701157744).

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

642232468176 is a wasteful number, since it uses less digits than its factorization.

642232468176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273044 (or 1273038 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 642232468176 in words is "six hundred forty-two billion, two hundred thirty-two million, four hundred sixty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 809 1618 2427 3236 4854 6472 9708 10517 12944 19416 21034 31551 38832 42068 63102 84136 126204 168272 252408 504816 1272211 2544422 3816633 5088844 7633266 10177688 15266532 16538743 20355376 30533064 33077486 49616229 61066128 66154972 99232458 132309944 198464916 264619888 396929832 793859664 1029218699 2058437398 3087656097 4116874796 6175312194 8233749592 12350624388 13379843087 16467499184 24701248776 26759686174 40139529261 49402497552 53519372348 80279058522 107038744696 160558117044 214077489392 321116234088 642232468176