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996091229952 = 2838741319
BaseRepresentation
bin11100111111010111010…
…10011111011100000000
310112020002022101100000000
432133223222133130000
5112304443323324302
62041333100000000
7131652032520000
oct16375352373400
93466068340000
10996091229952
11354492593125
12141070b30000
1372c14539b60
14362d5280000
151ad9d51231c
hexe7eba9f700

996091229952 has 1620 divisors, whose sum is σ = 3943948834280. Its totient is φ = 248878780416.

The previous prime is 996091229909. The next prime is 996091229993. The reversal of 996091229952 is 259922190699.

996091229952 is a `hidden beast` number, since 9 + 9 + 609 + 12 + 2 + 9 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 996091229952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 52425854199 + ... + 52425854217.

Almost surely, 2996091229952 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 996091229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971974417140).

996091229952 is an abundant number, since it is smaller than the sum of its proper divisors (2947857604328).

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

996091229952 is an frugal number, since it uses more digits than its factorization.

996091229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 996091229952 in words is "nine hundred ninety-six billion, ninety-one million, two hundred twenty-nine thousand, nine hundred fifty-two".