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930190807296 = 28327122832
BaseRepresentation
bin11011000100100111011…
…00010101000100000000
310021220222121010000000100
431202103230111010000
5110220012321313141
61551153533122400
7124126665255612
oct15422354250400
93256877100010
10930190807296
11329545508203
1213033b029400
136994153a21a
1433042cdcdb2
15192e2c960b6
hexd893b15100

930190807296 has 243 divisors, whose sum is σ = 2729921910807. Its totient is φ = 304616309760.

The previous prime is 930190807279. The next prime is 930190807319. The reversal of 930190807296 is 692708091039.

The square root of 930190807296 is 964464.

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

930190807296 is a `hidden beast` number, since 93 + 0 + 190 + 80 + 7 + 296 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3286893171 + ... + 3286893453.

Almost surely, 2930190807296 is an apocalyptic number.

930190807296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

930190807296 is the 964464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930190807296

930190807296 is an abundant number, since it is smaller than the sum of its proper divisors (1799731103511).

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

930190807296 is an frugal number, since it uses more digits than its factorization.

930190807296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 930190807296 in words is "nine hundred thirty billion, one hundred ninety million, eight hundred seven thousand, two hundred ninety-six".