Search a number
-
+
23790551040 = 2163352689
BaseRepresentation
bin10110001010000001…
…110000000000000000
32021102000010012202000
4112022001300000000
5342210340113130
614532414024000
71501360230054
oct261201600000
967360105660
1023790551040
11a0a9167133
12473b4a8000
132321ab4249
1412198b7c64
1594391c260
hex58a070000

23790551040 has 272 divisors, whose sum is σ = 84619437600. Its totient is φ = 6341787648.

The previous prime is 23790551033. The next prime is 23790551089. The reversal of 23790551040 is 4015509732.

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

It is a junction number, because it is equal to n+sod(n) for n = 23790550986 and 23790551004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8846016 + ... + 8848704.

Almost surely, 223790551040 is an apocalyptic number.

23790551040 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 23790551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42309718800).

23790551040 is an abundant number, since it is smaller than the sum of its proper divisors (60828886560).

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

23790551040 is an frugal number, since it uses more digits than its factorization.

23790551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 23790551040 in words is "twenty-three billion, seven hundred ninety million, five hundred fifty-one thousand, forty".