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681830742831 = 372107269916061
BaseRepresentation
bin10011110110000000100…
…01110111101100101111
32102011220221211111112020
421323000101313230233
542132342132232311
61241121223041223
7100155254455200
oct11730021675457
92364827744466
10681830742831
11243187751887
12b01878a0213
134c3b11574b4
14250022195a7
1512b08e18c06
hex9ec0477b2f

681830742831 has 48 divisors (see below), whose sum is σ = 1067878857600. Its totient is φ = 385809251520.

The previous prime is 681830742823. The next prime is 681830742881. The reversal of 681830742831 is 138247038186.

It is not a de Polignac number, because 681830742831 - 23 = 681830742823 is a prime.

It is a super-2 number, since 2×6818307428312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681830742881) 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, 42444541 + ... + 42460601.

It is an arithmetic number, because the mean of its divisors is an integer number (22247476200).

Almost surely, 2681830742831 is an apocalyptic number.

681830742831 is a deficient number, since it is larger than the sum of its proper divisors (386048114769).

681830742831 is a wasteful number, since it uses less digits than its factorization.

681830742831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18884 (or 18877 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 681830742831 in words is "six hundred eighty-one billion, eight hundred thirty million, seven hundred forty-two thousand, eight hundred thirty-one".

Divisors: 1 3 7 21 49 107 147 321 749 2247 2699 5243 8097 15729 16061 18893 48183 56679 112427 132251 288793 337281 396753 786989 866379 1718527 2021551 2360967 5155581 6064653 12029689 14150857 36089067 42452571 43348639 84207823 130045917 252623469 303440473 910321419 2124083311 4638304373 6372249933 13914913119 32468130611 97404391833 227276914277 681830742831