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681334330248 = 233311131910910651
BaseRepresentation
bin10011110101000101011…
…00001101001110001000
32102010122100202010111000
421322202230031032020
542130333042031443
61241000051135000
7100140046152165
oct11724254151610
92363570663430
10681334330248
11242a52515750
12b00695a4460
134c33235a240
1424d9631906c
1512aca55d8d3
hex9ea2b0d388

681334330248 has 512 divisors, whose sum is σ = 2362187520000. Its totient is φ = 178879104000.

The previous prime is 681334330223. The next prime is 681334330301. The reversal of 681334330248 is 842033433186.

681334330248 is a `hidden beast` number, since 6 + 8 + 1 + 334 + 3 + 302 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63963723 + ... + 63974373.

It is an arithmetic number, because the mean of its divisors is an integer number (4613647500).

Almost surely, 2681334330248 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 681334330248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181093760000).

681334330248 is an abundant number, since it is smaller than the sum of its proper divisors (1680853189752).

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

681334330248 is a wasteful number, since it uses less digits than its factorization.

681334330248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 681334330248 in words is "six hundred eighty-one billion, three hundred thirty-four million, three hundred thirty thousand, two hundred forty-eight".