Search a number
-
+
19298226816 = 2732113374519
BaseRepresentation
bin10001111110010000…
…111001001010000000
31211210221000111102100
4101332100321022000
5304010321224231
612510535550400
71252141135641
oct217620711200
954727014370
1019298226816
118203389490
1238a6b2b400
131a8719742b
14d110096c8
1577e3481e6
hex47e439280

19298226816 has 192 divisors, whose sum is σ = 60774292800. Its totient is φ = 5829304320.

The previous prime is 19298226803. The next prime is 19298226833. The reversal of 19298226816 is 61862289291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4268205 + ... + 4272723.

It is an arithmetic number, because the mean of its divisors is an integer number (316532775).

Almost surely, 219298226816 is an apocalyptic number.

19298226816 is a gapful number since it is divisible by the number (16) 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 19298226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30387146400).

19298226816 is an abundant number, since it is smaller than the sum of its proper divisors (41476065984).

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

19298226816 is a wasteful number, since it uses less digits than its factorization.

19298226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4872 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 19298226816 in words is "nineteen billion, two hundred ninety-eight million, two hundred twenty-six thousand, eight hundred sixteen".