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994742622720 = 29355711191093
BaseRepresentation
bin11100111100110110100…
…01111101101000000000
310112002121022201222200000
432132123101331220000
5112244213102411340
62040551202400000
7131603435532330
oct16363321755000
93462538658600
10994742622720
113539603065a0
12140955360000
1372a5b013702
14362081090c0
151ad1ee1ed30
hexe79b47da00

994742622720 has 1920 divisors, whose sum is σ = 4692959631360. Its totient is φ = 195641671680.

The previous prime is 994742622707. The next prime is 994742622733. The reversal of 994742622720 is 27226247499.

994742622720 is a `hidden beast` number, since 9 + 9 + 4 + 7 + 4 + 2 + 622 + 7 + 2 + 0 = 666.

994742622720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (994742622707) and next prime (994742622733).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 910102494 + ... + 910103586.

It is an arithmetic number, because the mean of its divisors is an integer number (2444249808).

Almost surely, 2994742622720 is an apocalyptic number.

994742622720 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 994742622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346479815680).

994742622720 is an abundant number, since it is smaller than the sum of its proper divisors (3698217008640).

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

994742622720 is a wasteful number, since it uses less digits than its factorization.

994742622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 994742622720 in words is "nine hundred ninety-four billion, seven hundred forty-two million, six hundred twenty-two thousand, seven hundred twenty".