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996818034960 = 243351189471389
BaseRepresentation
bin11101000000101101111…
…11000010000100010000
310112021221221222212001000
432200112333002010100
5112312440404104320
62041533141542000
7132006036332016
oct16402677020420
93467857885030
10996818034960
11354825880520
12141234414900
1372ccbca2ba7
14363639d48b6
151ade222bc90
hexe816fc2110

996818034960 has 320 divisors, whose sum is σ = 3787712928000. Its totient is φ = 238937149440.

The previous prime is 996818034917. The next prime is 996818034977. The reversal of 996818034960 is 69430818699.

It is a happy number.

996818034960 is a `hidden beast` number, since 9 + 9 + 68 + 1 + 80 + 3 + 496 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1878946 + ... + 2350334.

It is an arithmetic number, because the mean of its divisors is an integer number (11836602900).

Almost surely, 2996818034960 is an apocalyptic number.

996818034960 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 996818034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893856464000).

996818034960 is an abundant number, since it is smaller than the sum of its proper divisors (2790894893040).

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

996818034960 is a wasteful number, since it uses less digits than its factorization.

996818034960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471511 (or 471499 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 996818034960 in words is "nine hundred ninety-six billion, eight hundred eighteen million, thirty-four thousand, nine hundred sixty".