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996873696 = 253371331409
BaseRepresentation
bin111011011010110…
…001010111100000
32120110210102122000
4323122301113200
54020144424241
6242530244000
733463200210
oct7332612740
92513712560
10996873696
11471788a65
12239a26600
1312b6b41c0
1496576240
155c7b4eb6
hex3b6b15e0

996873696 has 384 divisors, whose sum is σ = 3702988800. Its totient is φ = 253808640.

The previous prime is 996873629. The next prime is 996873697. The reversal of 996873696 is 696378699.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996873697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2437140 + ... + 2437548.

It is an arithmetic number, because the mean of its divisors is an integer number (9643200).

Almost surely, 2996873696 is an apocalyptic number.

996873696 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 996873696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851494400).

996873696 is an abundant number, since it is smaller than the sum of its proper divisors (2706115104).

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

996873696 is a wasteful number, since it uses less digits than its factorization.

996873696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The square root of 996873696 is about 31573.3067004392. The cubic root of 996873696 is about 998.9568108014.

The spelling of 996873696 in words is "nine hundred ninety-six million, eight hundred seventy-three thousand, six hundred ninety-six".