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796085079696 = 2432743532
BaseRepresentation
bin10111001010110100101…
…11100100111010010000
32211002211112112011221100
423211122113210322100
5101020340240022241
61405414430024400
7111341505346134
oct13453227447220
92732745464840
10796085079696
11287688301175
1210a353348100
135a0bbb7649a
142a76043b3c4
1515a947759b6
hexb95a5e4e90

796085079696 has 45 divisors (see below), whose sum is σ = 2227962514089. Its totient is φ = 265358124288.

The previous prime is 796085079659. The next prime is 796085079707. The reversal of 796085079696 is 696970580697.

The square root of 796085079696 is 892236.

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

796085079696 is a `hidden beast` number, since 7 + 9 + 608 + 5 + 0 + 7 + 9 + 6 + 9 + 6 = 666.

796085079696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 589547552400 + 206537527296 = 767820^2 + 454464^2 .

It is a super-2 number, since 2×7960850796962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10669656 + ... + 10744008.

Almost surely, 2796085079696 is an apocalyptic number.

796085079696 is the 892236-th square number.

It is an amenable number.

796085079696 is an abundant number, since it is smaller than the sum of its proper divisors (1431877434393).

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

796085079696 is an frugal number, since it uses more digits than its factorization.

796085079696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148720 (or 74358 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 796085079696 in words is "seven hundred ninety-six billion, eighty-five million, seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 74353 148706 223059 297412 446118 594824 669177 892236 1189648 1338354 1784472 2676708 3568944 5353416 10706832 5528368609 11056737218 16585105827 22113474436 33170211654 44226948872 49755317481 66340423308 88453897744 99510634962 132680846616 199021269924 265361693232 398042539848 796085079696