Search a number
-
+
18977000448 = 2103717233761
BaseRepresentation
bin10001101011000111…
…100000110000000000
31210222112120111200110
4101223013200300000
5302331103003243
612415022551320
71241160561630
oct215307406000
953875514613
1018977000448
11805902734a
123817438540
131a35776c63
14cc04ac6c0
15761044e33
hex46b1e0c00

18977000448 has 704 divisors, whose sum is σ = 66669447168. Its totient is φ = 4671406080.

The previous prime is 18977000447. The next prime is 18977000453. The reversal of 18977000448 is 84400077981.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 18977000397 and 18977000406.

It is not an unprimeable number, because it can be changed into a prime (18977000447) 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, 311098338 + ... + 311098398.

Almost surely, 218977000448 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 18977000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33334723584).

18977000448 is an abundant number, since it is smaller than the sum of its proper divisors (47692446720).

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

18977000448 is a wasteful number, since it uses less digits than its factorization.

18977000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 18977000448 in words is "eighteen billion, nine hundred seventy-seven million, four hundred forty-eight", and thus it is an aban number.