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790345892196 = 2232726123472
BaseRepresentation
bin10111000000001000100…
…10010100000101100100
32210120000120020020202100
423200010102110011210
5100422112022022241
61403025131212100
7111046336145100
oct13400422240544
92716016206670
10790345892196
11285202719703
121092112a7030
13596b5b37753
142a378120900
151585a9aa9b6
hexb804494164

790345892196 has 243 divisors, whose sum is σ = 2369544692697. Its totient is φ = 221471167680.

The previous prime is 790345892137. The next prime is 790345892197. The reversal of 790345892196 is 691298543097.

The square root of 790345892196 is 889014.

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

790345892196 is a `hidden beast` number, since 7 + 9 + 0 + 3 + 458 + 92 + 1 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25700578596 + 764645313600 = 160314^2 + 874440^2 .

It is a super-2 number, since 2×7903458921962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (790345892197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2277653695 + ... + 2277654041.

It is a 2-persistent number, because it is pandigital, and so is 2⋅790345892196 = 1580691784392, but 3⋅790345892196 = 2371037676588 is not.

Almost surely, 2790345892196 is an apocalyptic number.

790345892196 is the 889014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790345892196

790345892196 is an abundant number, since it is smaller than the sum of its proper divisors (1579198800501).

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

790345892196 is a wasteful number, since it uses less digits than its factorization.

790345892196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 790345892196 in words is "seven hundred ninety billion, three hundred forty-five million, eight hundred ninety-two thousand, one hundred ninety-six".