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996891840000 = 293354753311
BaseRepresentation
bin11101000000110110110…
…00100100111000000000
310112022011002212112112000
432200123120210320000
5112313113302340000
62041544335504000
7132010623554040
oct16403330447000
93468132775460
10996891840000
11354863500321
12141255088000
1373011374604
143636d727720
151ade895a000
hexe81b624e00

996891840000 has 1600 divisors, whose sum is σ = 4307497159680. Its totient is φ = 222842880000.

The previous prime is 996891839927. The next prime is 996891840023. The reversal of 996891840000 is 48198699.

996891840000 is a `hidden beast` number, since 99 + 68 + 91 + 8 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3205439845 + ... + 3205440155.

Almost surely, 2996891840000 is an apocalyptic number.

996891840000 is a gapful number since it is divisible by the number (90) 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 996891840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153748579840).

996891840000 is an abundant number, since it is smaller than the sum of its proper divisors (3310605319680).

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

996891840000 is an equidigital number, since it uses as much as digits as its factorization.

996891840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 996891840000 in words is "nine hundred ninety-six billion, eight hundred ninety-one million, eight hundred forty thousand".