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10660628700 = 2235523771167
BaseRepresentation
bin10011110110110110…
…00100100011011100
31000111221212001100000
421323123010203130
5133313110104300
64521502134300
7525115564101
oct117333044334
930457761300
1010660628700
114580713147
122096281390
13100b823227
14731bacaa8
15425da4c00
hex27b6c48dc

10660628700 has 432 divisors, whose sum is σ = 36306676224. Its totient is φ = 2710713600.

The previous prime is 10660628659. The next prime is 10660628729. The reversal of 10660628700 is 782606601.

It is a happy number.

It is a super-2 number, since 2×106606287002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63836017 + ... + 63836183.

It is an arithmetic number, because the mean of its divisors is an integer number (84043232).

Almost surely, 210660628700 is an apocalyptic number.

10660628700 is a gapful number since it is divisible by the number (10) 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 10660628700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153338112).

10660628700 is an abundant number, since it is smaller than the sum of its proper divisors (25646047524).

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

10660628700 is a wasteful number, since it uses less digits than its factorization.

10660628700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10660628700 in words is "ten billion, six hundred sixty million, six hundred twenty-eight thousand, seven hundred".