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923428746304 = 26113210632
BaseRepresentation
bin11010111000000001010…
…01000111010001000000
310021021112100002201011221
431130000221013101000
5110112140224340204
61544114534444424
7123500265556231
oct15340051072100
93237470081157
10923428746304
113266954a9749
1212ab72503714
1369104612cbc
14329a0bdd088
15190492cc654
hexd700a47440

923428746304 has 63 divisors (see below), whose sum is σ = 1850529463653. Its totient is φ = 457197898752.

The previous prime is 923428746287. The next prime is 923428746307. The reversal of 923428746304 is 403647824329.

The square root of 923428746304 is 960952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16271553600 + 907157192704 = 127560^2 + 952448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (923428746307) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 868700077 + ... + 868701139.

Almost surely, 2923428746304 is an apocalyptic number.

923428746304 is the 960952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923428746304

923428746304 is an abundant number, since it is smaller than the sum of its proper divisors (927100717349).

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

923428746304 is an frugal number, since it uses more digits than its factorization.

923428746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 923428746304 in words is "nine hundred twenty-three billion, four hundred twenty-eight million, seven hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1063 1808 2126 3616 4252 7232 8504 12769 17008 25538 34016 51076 68032 102152 120119 204304 240238 408608 480476 817216 960952 1129969 1921904 2259938 3843808 4519876 7687616 9039752 13573447 18079504 27146894 36159008 54293788 72318016 108587576 127686497 217175152 255372994 434350304 510745988 868700608 1021491976 2042983952 4085967904 8171935808 14428574161 28857148322 57714296644 115428593288 230857186576 461714373152 923428746304