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681237342720 = 293251125710459
BaseRepresentation
bin10011110100111001110…
…10001110101000000000
32102010101121020122121100
421322130322032220000
542130133224431340
61240542304254400
7100134460604544
oct11723472165000
92363347218540
10681237342720
11242a027a1570
12b0041011400
134c31822c97c
1424d874ada24
1512ac1ca1830
hex9e9ce8ea00

681237342720 has 480 divisors, whose sum is σ = 2584061663040. Its totient is φ = 164490117120.

The previous prime is 681237342713. The next prime is 681237342727. The reversal of 681237342720 is 27243732186.

681237342720 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 373 + 4 + 272 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (681237342713) and next prime (681237342727).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (681237342727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65128851 + ... + 65139309.

It is an arithmetic number, because the mean of its divisors is an integer number (5383461798).

Almost surely, 2681237342720 is an apocalyptic number.

681237342720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681237342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292030831520).

681237342720 is an abundant number, since it is smaller than the sum of its proper divisors (1902824320320).

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

681237342720 is a wasteful number, since it uses less digits than its factorization.

681237342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10756 (or 10737 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 681237342720 in words is "six hundred eighty-one billion, two hundred thirty-seven million, three hundred forty-two thousand, seven hundred twenty".