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10066600656 = 2432737436277
BaseRepresentation
bin10010110000000010…
…00010001011010000
3221222120002022001100
421120001002023100
5131104022210111
64342522104400
7504313456650
oct113001021320
927876068040
1010066600656
1142a6374082
121b4b34b100
13c45738948
146b6d3c360
153ddb66756
hex2580422d0

10066600656 has 240 divisors, whose sum is σ = 33841734784. Its totient is φ = 2732921856.

The previous prime is 10066600631. The next prime is 10066600681. The reversal of 10066600656 is 65600666001.

It is an interprime number because it is at equal distance from previous prime (10066600631) and next prime (10066600681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10066600656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600590 + ... + 1606866.

Almost surely, 210066600656 is an apocalyptic number.

10066600656 is a gapful number since it is divisible by the number (16) 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 10066600656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920867392).

10066600656 is an abundant number, since it is smaller than the sum of its proper divisors (23775134128).

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

10066600656 is a wasteful number, since it uses less digits than its factorization.

10066600656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10066600656 in words is "ten billion, sixty-six million, six hundred thousand, six hundred fifty-six".