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992374656 = 27372134057
BaseRepresentation
bin111011001001100…
…110111110000000
32120011022212002220
4323021212332000
54013021442111
6242250011040
733410021400
oct7311467600
92504285086
10992374656
1146a195849
12238416a80
1312a79a450
1495b24800
155c1c6e06
hex3b266f80

992374656 has 192 divisors, whose sum is σ = 3303049680. Its totient is φ = 261660672.

The previous prime is 992374639. The next prime is 992374723. The reversal of 992374656 is 656473299.

992374656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×9923746562 = 1969614915742236672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 992374599 and 992374608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242580 + ... + 246636.

Almost surely, 2992374656 is an apocalyptic number.

992374656 is a gapful number since it is divisible by the number (96) 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 992374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651524840).

992374656 is an abundant number, since it is smaller than the sum of its proper divisors (2310675024).

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

992374656 is a wasteful number, since it uses less digits than its factorization.

992374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4082 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The square root of 992374656 is about 31501.9786045258. The cubic root of 992374656 is about 997.4517305051.

The spelling of 992374656 in words is "nine hundred ninety-two million, three hundred seventy-four thousand, six hundred fifty-six".