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999766668000 = 253531723213079
BaseRepresentation
bin11101000110001101011…
…11001011001011100000
310112120120110100221011010
432203012233023023200
5112340010231334000
62043141513220520
7132142102314552
oct16430657131340
93476513327133
10999766668000
11355aa9247131
12141917a01740
137337bb40a79
14365634694d2
151b016025d50
hexe8c6bcb2e0

999766668000 has 384 divisors, whose sum is σ = 3618691614720. Its totient is φ = 240011059200.

The previous prime is 999766667993. The next prime is 999766668029. The reversal of 999766668000 is 866667999.

999766668000 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4585461 + ... + 4798539.

It is an arithmetic number, because the mean of its divisors is an integer number (9423676080).

Almost surely, 2999766668000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999766668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809345807360).

999766668000 is an abundant number, since it is smaller than the sum of its proper divisors (2618924946720).

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

999766668000 is a wasteful number, since it uses less digits than its factorization.

999766668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213147 (or 213129 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 66.

The spelling of 999766668000 in words is "nine hundred ninety-nine billion, seven hundred sixty-six million, six hundred sixty-eight thousand".