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10309552660 = 225112361127263
BaseRepresentation
bin10011001100111111…
…10100101000010100
3222121111020112112201
421212133310220110
5132103221141120
64423001254244
7513323515561
oct114637645024
928544215481
1010309552660
114410523560
121bb8794384
13c83b81324
146db301868
1540515740a
hex2667f4a14

10309552660 has 192 divisors, whose sum is σ = 25342377984. Its totient is φ = 3486067200.

The previous prime is 10309552651. The next prime is 10309552697. The reversal of 10309552660 is 6625590301.

10309552660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39199689 + ... + 39199951.

It is an arithmetic number, because the mean of its divisors is an integer number (131991552).

Almost surely, 210309552660 is an apocalyptic number.

10309552660 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 10309552660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671188992).

10309552660 is an abundant number, since it is smaller than the sum of its proper divisors (15032825324).

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

10309552660 is a wasteful number, since it uses less digits than its factorization.

10309552660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 10309552660 in words is "ten billion, three hundred nine million, five hundred fifty-two thousand, six hundred sixty".