Search a number
-
+
23827981248 = 26357092161
BaseRepresentation
bin10110001100010000…
…100010001111000000
32021111121112212100000
4112030100202033000
5342244430344443
614540232200000
71502323333041
oct261420421700
967447485300
1023827981248
11a118301a95
12474bb39000
13232978b1b6
14122085c8c8
15946d628d3
hex58c4223c0

23827981248 has 168 divisors, whose sum is σ = 70960904560. Its totient is φ = 7927787520.

The previous prime is 23827981189. The next prime is 23827981249. The reversal of 23827981248 is 84218972832.

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

It is a junction number, because it is equal to n+sod(n) for n = 23827981194 and 23827981203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23827981249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11025288 + ... + 11027448.

Almost surely, 223827981248 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 23827981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35480452280).

23827981248 is an abundant number, since it is smaller than the sum of its proper divisors (47132923312).

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

23827981248 is an equidigital number, since it uses as much as digits as its factorization.

23827981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2875 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 23827981248 in words is "twenty-three billion, eight hundred twenty-seven million, nine hundred eighty-one thousand, two hundred forty-eight".