Search a number
-
+
19840826880 = 29345713669
BaseRepresentation
bin10010011110100110…
…101111111000000000
31220012202000102210000
4102132212233320000
5311113222430010
613040441440000
71301450150220
oct223646577000
956182012700
1019840826880
1184616a1996
123a187a0000
131b42716664
14d630d0080
157b1cc87c0
hex49e9afe00

19840826880 has 400 divisors, whose sum is σ = 81221453280. Its totient is φ = 4534714368.

The previous prime is 19840826857. The next prime is 19840826909. The reversal of 19840826880 is 8862804891.

It is a super-2 number, since 2×198408268802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1444686 + ... + 1458354.

Almost surely, 219840826880 is an apocalyptic number.

19840826880 is a gapful number since it is divisible by the number (10) 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 19840826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40610726640).

19840826880 is an abundant number, since it is smaller than the sum of its proper divisors (61380626400).

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

19840826880 is an equidigital number, since it uses as much as digits as its factorization.

19840826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13711 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 19840826880 in words is "nineteen billion, eight hundred forty million, eight hundred twenty-six thousand, eight hundred eighty".