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2393102050416 = 24327112173121201
BaseRepresentation
bin100010110100101111111…
…111110110010001110000
322110210000101201002000200
4202310233333312101300
5303202033111103131
65031213110115200
7334616204541630
oct42645777662160
98423011632020
102393102050416
118429aa7a0600
1232797104bb00
1314488ca7a62c
1483b8089c6c0
15423b40192e6
hex22d2fff6470

2393102050416 has 1080 divisors, whose sum is σ = 9212402306016. Its totient is φ = 565678080000.

The previous prime is 2393102050397. The next prime is 2393102050421. The reversal of 2393102050416 is 6140502013932.

2393102050416 is a `hidden beast` number, since 2 + 3 + 9 + 31 + 0 + 205 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1992590616 + ... + 1992591816.

Almost surely, 22393102050416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2393102050416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606201153008).

2393102050416 is an abundant number, since it is smaller than the sum of its proper divisors (6819300255600).

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

2393102050416 is a wasteful number, since it uses less digits than its factorization.

2393102050416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2393102050416 in words is "two trillion, three hundred ninety-three billion, one hundred two million, fifty thousand, four hundred sixteen".