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2313426769920 = 21134571967313
BaseRepresentation
bin100001101010100010111…
…110110001100000000000
322012011100200121110110000
4201222202332301200000
5300400344223114140
64530435032240000
7326065605043260
oct41524276614000
98164320543400
102313426769920
11812134112052
12314435b40000
1313a202cb9c46
147dd82ccd7a0
154029e2dda30
hex21aa2fb1800

2313426769920 has 1920 divisors, whose sum is σ = 10156616870400. Its totient is φ = 491899060224.

The previous prime is 2313426769919. The next prime is 2313426769993. The reversal of 2313426769920 is 299676243132.

2313426769920 is a `hidden beast` number, since 2 + 313 + 4 + 267 + 69 + 9 + 2 + 0 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7391139684 + ... + 7391139996.

It is an arithmetic number, because the mean of its divisors is an integer number (5289904620).

Almost surely, 22313426769920 is an apocalyptic number.

2313426769920 is a gapful number since it is divisible by the number (20) 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 2313426769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078308435200).

2313426769920 is an abundant number, since it is smaller than the sum of its proper divisors (7843190100480).

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

2313426769920 is a wasteful number, since it uses less digits than its factorization.

2313426769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 2313426769920 in words is "two trillion, three hundred thirteen billion, four hundred twenty-six million, seven hundred sixty-nine thousand, nine hundred twenty".