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996017406930 = 233571343979719
BaseRepresentation
bin11100111111001110100…
…00111000001111010010
310112012220011110201212000
432133213100320033102
5112304320424010210
62041321501414430
7131650145161350
oct16374720701722
93465804421760
10996017406930
11354454950867
1214105026a416
1372c021601b0
14362c95447d0
151ad96ccdac0
hexe7e74383d2

996017406930 has 512 divisors, whose sum is σ = 3379835289600. Its totient is φ = 203124547584.

The previous prime is 996017406907. The next prime is 996017406931. The reversal of 996017406930 is 39604710699.

996017406930 is a `hidden beast` number, since 99 + 60 + 1 + 7 + 406 + 93 + 0 = 666.

It is a super-2 number, since 2×9960174069302 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (996017406931) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102476611 + ... + 102486329.

It is an arithmetic number, because the mean of its divisors is an integer number (6601240800).

Almost surely, 2996017406930 is an apocalyptic number.

996017406930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 996017406930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689917644800).

996017406930 is an abundant number, since it is smaller than the sum of its proper divisors (2383817882670).

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

996017406930 is a wasteful number, since it uses less digits than its factorization.

996017406930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 996017406930 in words is "nine hundred ninety-six billion, seventeen million, four hundred six thousand, nine hundred thirty".