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799858345104 = 243674134
BaseRepresentation
bin10111010001110110100…
…01011100010010010000
32211110120111120221000000
423220323101130102100
5101101102214020404
61411241100130000
7111534143520000
oct13507321342220
92743514527000
10799858345104
11289244202335
1210b026b36900
135a570810000
142a9db610000
1515c15b60339
hexba3b45c490

799858345104 has 875 divisors, whose sum is σ = 2936495302303. Its totient is φ = 210951651456.

The previous prime is 799858345057. The next prime is 799858345127. The reversal of 799858345104 is 401543858997.

The square root of 799858345104 is 894348.

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

799858345104 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 583 + 45 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 396582543504 + 403275801600 = 629748^2 + 635040^2 .

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

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 799858345104 = 5463 + 92823 = 40953 + 90093.

It is an unprimeable number.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 61527565002 + ... + 61527565014.

Almost surely, 2799858345104 is an apocalyptic number.

799858345104 is the 894348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799858345104

799858345104 is an abundant number, since it is smaller than the sum of its proper divisors (2136636957199).

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

799858345104 is an frugal number, since it uses more digits than its factorization.

799858345104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 799858345104 in words is "seven hundred ninety-nine billion, eight hundred fifty-eight million, three hundred forty-five thousand, one hundred four".