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681987210660 = 223357253486307
BaseRepresentation
bin10011110110010011001…
…10101111110110100100
32102012022212020220001000
421323021212233312210
542133202211220120
61241144532433300
7100162164433500
oct11731146576644
92365285226030
10681987210660
11243258001438
12b0210178830
134c4076ac302
1425018d09300
1512b17a24990
hex9ec99afda4

681987210660 has 288 divisors, whose sum is σ = 2514718120320. Its totient is φ = 152941291776.

The previous prime is 681987210649. The next prime is 681987210727. The reversal of 681987210660 is 66012789186.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 681987210597 and 681987210606.

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 95 ways as a sum of consecutive naturals, for example, 1159227 + ... + 1645533.

It is an arithmetic number, because the mean of its divisors is an integer number (8731660140).

Almost surely, 2681987210660 is an apocalyptic number.

681987210660 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 681987210660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257359060160).

681987210660 is an abundant number, since it is smaller than the sum of its proper divisors (1832730909660).

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

681987210660 is a wasteful number, since it uses less digits than its factorization.

681987210660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486392 (or 486377 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 681987210660 in words is "six hundred eighty-one billion, nine hundred eighty-seven million, two hundred ten thousand, six hundred sixty".