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2393125955136 = 2632717311975717
BaseRepresentation
bin100010110100110001011…
…011000010011001000000
322110210002001200120010200
4202310301123002121000
5303202110221031021
65031215322325200
7334616614662660
oct42646133023100
98423061616120
102393125955136
11842a12238574
12327979059800
131448949ca137
1483b83b221a0
15423b618c126
hex22d316c2640

2393125955136 has 672 divisors, whose sum is σ = 8613286336512. Its totient is φ = 619500994560.

The previous prime is 2393125955123. The next prime is 2393125955137. The reversal of 2393125955136 is 6315595213932.

It is a happy number.

2393125955136 is a `hidden beast` number, since 2 + 3 + 9 + 3 + 1 + 2 + 59 + 551 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2393125955137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418595350 + ... + 418601066.

Almost surely, 22393125955136 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 2393125955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306643168256).

2393125955136 is an abundant number, since it is smaller than the sum of its proper divisors (6220160381376).

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

2393125955136 is a wasteful number, since it uses less digits than its factorization.

2393125955136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5974 counting only the distinct ones).

The product of its digits is 6561000, while the sum is 54.

The spelling of 2393125955136 in words is "two trillion, three hundred ninety-three billion, one hundred twenty-five million, nine hundred fifty-five thousand, one hundred thirty-six".