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10215666000 = 2433531391361
BaseRepresentation
bin10011000001110011…
…01011000101010000
3222100221120121021000
421200321223011100
5131410202303000
64405405102000
7511103504541
oct114071530520
928327517230
1010215666000
114372528081
121b91257900
13c6a59b2a7
146cca624c8
153ebcae000
hex260e6b150

10215666000 has 320 divisors, whose sum is σ = 36885139200. Its totient is φ = 2702592000.

The previous prime is 10215665983. The next prime is 10215666007. The reversal of 10215666000 is 66651201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10215666007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7505320 + ... + 7506680.

It is an arithmetic number, because the mean of its divisors is an integer number (115266060).

Almost surely, 210215666000 is an apocalyptic number.

10215666000 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 10215666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18442569600).

10215666000 is an abundant number, since it is smaller than the sum of its proper divisors (26669473200).

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

10215666000 is a wasteful number, since it uses less digits than its factorization.

10215666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10215666000 in words is "ten billion, two hundred fifteen million, six hundred sixty-six thousand".