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796385804256 = 25337899371579
BaseRepresentation
bin10111001011011000100…
…10101111111111100000
32211010121111101120111000
423211230102233333200
5101021444231214011
61405504331352000
7111352116434130
oct13455422577740
92733544346430
10796385804256
1128782202aa69
1210a417bb2600
135a139269003
142a78c35cac0
1515ab0d79356
hexb96c4affe0

796385804256 has 384 divisors, whose sum is σ = 2689013376000. Its totient is φ = 224599744512.

The previous prime is 796385804231. The next prime is 796385804293. The reversal of 796385804256 is 652408583697.

It is a happy number.

796385804256 is a `hidden beast` number, since 7 + 9 + 6 + 3 + 8 + 580 + 42 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 796385804193 and 796385804202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504360075 + ... + 504361653.

It is an arithmetic number, because the mean of its divisors is an integer number (7002639000).

Almost surely, 2796385804256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796385804256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344506688000).

796385804256 is an abundant number, since it is smaller than the sum of its proper divisors (1892627571744).

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

796385804256 is a wasteful number, since it uses less digits than its factorization.

796385804256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 796385804256 in words is "seven hundred ninety-six billion, three hundred eighty-five million, eight hundred four thousand, two hundred fifty-six".