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13332666600 = 2332521159101113
BaseRepresentation
bin11000110101011000…
…00101100011101000
31021102011202122020200
430122230011203220
5204301130312400
610042553152200
7651252540051
oct143254054350
937364678220
1013332666600
115721a40830
1227010bb660
131346299446
14906a03728
15530764b00
hex31ab058e8

13332666600 has 576 divisors, whose sum is σ = 50609707200. Its totient is φ = 3118080000.

The previous prime is 13332666593. The next prime is 13332666647. The reversal of 13332666600 is 666623331.

It is a happy number.

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

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, 117988144 + ... + 117988256.

It is an arithmetic number, because the mean of its divisors is an integer number (87864075).

Almost surely, 213332666600 is an apocalyptic number.

13332666600 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 13332666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25304853600).

13332666600 is an abundant number, since it is smaller than the sum of its proper divisors (37277040600).

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

13332666600 is a wasteful number, since it uses less digits than its factorization.

13332666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 13332666600 in words is "thirteen billion, three hundred thirty-two million, six hundred sixty-six thousand, six hundred".