Search a number
-
+
18952790472 = 23327113191487
BaseRepresentation
bin10001101001101011…
…001010000111001000
31210220212000111211200
4101221223022013020
5302303403243342
612412400024200
71240445026620
oct215153120710
953825014750
1018952790472
1180463a1000
12380b302060
131a3074b525
14cbb1a9880
1575dd6194c
hex469aca1c8

18952790472 has 384 divisors, whose sum is σ = 67967078400. Its totient is φ = 4660571520.

The previous prime is 18952790443. The next prime is 18952790477. The reversal of 18952790472 is 27409725981.

18952790472 is a `hidden beast` number, since 1 + 89 + 5 + 2 + 7 + 90 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18952790477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12744913 + ... + 12746399.

It is an arithmetic number, because the mean of its divisors is an integer number (176997600).

Almost surely, 218952790472 is an apocalyptic number.

18952790472 is a gapful number since it is divisible by the number (12) 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 18952790472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33983539200).

18952790472 is an abundant number, since it is smaller than the sum of its proper divisors (49014287928).

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

18952790472 is a wasteful number, since it uses less digits than its factorization.

18952790472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 18952790472 in words is "eighteen billion, nine hundred fifty-two million, seven hundred ninety thousand, four hundred seventy-two".