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997912685952 = 273271310139397
BaseRepresentation
bin11101000010110000011…
…10110010110110000000
310112101210020202212220100
432201120032302312000
5112322211121422302
62042233524042400
7132045130606230
oct16413016626600
93471706685810
10997912685952
11355237771a66
1214149ab33400
13731449ccc80
143642913dcc0
151ae583a7d1c
hexe8583b2d80

997912685952 has 384 divisors, whose sum is σ = 3538139492160. Its totient is φ = 262897975296.

The previous prime is 997912685941. The next prime is 997912685971. The reversal of 997912685952 is 259586219799.

997912685952 is a `hidden beast` number, since 9 + 9 + 7 + 9 + 1 + 26 + 8 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 106190118 + ... + 106199514.

Almost surely, 2997912685952 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 997912685952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769069746080).

997912685952 is an abundant number, since it is smaller than the sum of its proper divisors (2540226806208).

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

997912685952 is a wasteful number, since it uses less digits than its factorization.

997912685952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450 (or 10435 counting only the distinct ones).

The product of its digits is 220449600, while the sum is 72.

The spelling of 997912685952 in words is "nine hundred ninety-seven billion, nine hundred twelve million, six hundred eighty-five thousand, nine hundred fifty-two".