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996879045420 = 22325191579411973
BaseRepresentation
bin11101000000110101001…
…11110001001100101100
310112022010012210111122200
432200122213301030230
5112313102013423140
62041543201341500
7132010410035046
oct16403247611454
93468105714580
10996879045420
11354857261595
12141250937890
137300b814a5b
143636bb56a96
151ade777e030
hexe81a9f132c

996879045420 has 288 divisors, whose sum is σ = 3208320722880. Its totient is φ = 249846405120.

The previous prime is 996879045403. The next prime is 996879045469. The reversal of 996879045420 is 24540978699.

996879045420 is a `hidden beast` number, since 9 + 9 + 6 + 87 + 9 + 0 + 4 + 542 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505259554 + ... + 505261526.

It is an arithmetic number, because the mean of its divisors is an integer number (11140002510).

Almost surely, 2996879045420 is an apocalyptic number.

996879045420 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 996879045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604160361440).

996879045420 is an abundant number, since it is smaller than the sum of its proper divisors (2211441677460).

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

996879045420 is a wasteful number, since it uses less digits than its factorization.

996879045420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 996879045420 in words is "nine hundred ninety-six billion, eight hundred seventy-nine million, forty-five thousand, four hundred twenty".