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876863870064 = 2433713972271013
BaseRepresentation
bin11001100001010010010…
…10001101010001110000
310002211100011001220111000
430300221022031101300
5103331304122320224
61510454203522000
7120231334626450
oct14605112152160
93084304056430
10876863870064
1130896a881a56
12121b37b29300
13648c34462b0
14306247bdd60
1517c212cc0c9
hexcc2928d470

876863870064 has 640 divisors, whose sum is σ = 3146578606080. Its totient is φ = 227643457536.

The previous prime is 876863870059. The next prime is 876863870131. The reversal of 876863870064 is 460078368678.

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 = 876863869983 and 876863870010.

It is a congruent number.

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, 865610422 + ... + 865611434.

It is an arithmetic number, because the mean of its divisors is an integer number (4916529072).

Almost surely, 2876863870064 is an apocalyptic number.

876863870064 is a gapful number since it is divisible by the number (84) 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 876863870064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573289303040).

876863870064 is an abundant number, since it is smaller than the sum of its proper divisors (2269714736016).

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

876863870064 is a wasteful number, since it uses less digits than its factorization.

876863870064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 876863870064 in words is "eight hundred seventy-six billion, eight hundred sixty-three million, eight hundred seventy thousand, sixty-four".