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997873909760 = 21557131731127
BaseRepresentation
bin11101000010101011110…
…10111000000000000000
310112101200112210211222002
432201111322320000000
5112322121210103020
62042230021003132
7132044150166140
oct16412572700000
93471615724862
10997873909760
11355217897922
12141489b534a8
1373139974490
1436423d28920
151ae54c98975
hexe855eb8000

997873909760 has 1024 divisors, whose sum is σ = 3246945730560. Its totient is φ = 285380444160.

The previous prime is 997873909687. The next prime is 997873909771. The reversal of 997873909760 is 67909378799.

It is a tau number, because it is divible by the number of its divisors (1024).

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, 7857274817 + ... + 7857274943.

It is an arithmetic number, because the mean of its divisors is an integer number (3170845440).

Almost surely, 2997873909760 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 997873909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623472865280).

997873909760 is an abundant number, since it is smaller than the sum of its proper divisors (2249071820800).

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

997873909760 is a wasteful number, since it uses less digits than its factorization.

997873909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 324060912, while the sum is 74.

The spelling of 997873909760 in words is "nine hundred ninety-seven billion, eight hundred seventy-three million, nine hundred nine thousand, seven hundred sixty".