Search a number
-
+
23898136320 = 283758537
BaseRepresentation
bin10110010000011100…
…001001111100000000
32021200111120010000000
4112100130021330000
5342420410330240
614551220000000
71504134543552
oct262034117400
967614503000
1023898136320
11a153969593
12476b530000
13233b182486
141229cc14d2
1594d0be430
hex590709f00

23898136320 has 288 divisors, whose sum is σ = 85862226240. Its totient is φ = 6372089856.

The previous prime is 23898136319. The next prime is 23898136321. The reversal of 23898136320 is 2363189832.

23898136320 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 8 + 1 + 3 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23898136319) and next prime (23898136321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×238981363202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23898136321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795092 + ... + 2803628.

It is an arithmetic number, because the mean of its divisors is an integer number (298132730).

Almost surely, 223898136320 is an apocalyptic number.

23898136320 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 23898136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42931113120).

23898136320 is an abundant number, since it is smaller than the sum of its proper divisors (61964089920).

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

23898136320 is an frugal number, since it uses more digits than its factorization.

23898136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 23898136320 in words is "twenty-three billion, eight hundred ninety-eight million, one hundred thirty-six thousand, three hundred twenty".