Search a number
-
+
18203125248 = 29337311349
BaseRepresentation
bin10000111100111111…
…011010011000000000
31201222121101120111000
4100330333122120000
5244240000001443
612210140052000
71213043004000
oct207477323000
951877346430
1018203125248
1177a120a470
123640234000
131941340239
14c497c4000
1571812d8d3
hex43cfda600

18203125248 has 640 divisors, whose sum is σ = 68745600000. Its totient is φ = 4714536960.

The previous prime is 18203125243. The next prime is 18203125271. The reversal of 18203125248 is 84252130281.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18203125243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52157778 + ... + 52158126.

It is an arithmetic number, because the mean of its divisors is an integer number (107415000).

Almost surely, 218203125248 is an apocalyptic number.

18203125248 is a gapful number since it is divisible by the number (18) 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 18203125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800000).

18203125248 is an abundant number, since it is smaller than the sum of its proper divisors (50542474752).

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

18203125248 is an equidigital number, since it uses as much as digits as its factorization.

18203125248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18203125248 in words is "eighteen billion, two hundred three million, one hundred twenty-five thousand, two hundred forty-eight".