Search a number
-
+
10919449387854 = 234731261277593
BaseRepresentation
bin1001111011100110000111…
…1001101110001101001110
31102122220000012110121110000
42132321201321232031032
52412401013020402404
635120154212225130
72204622064240440
oct236714171561516
942586005417400
1010919449387854
11352aa04567877
12128431960b1a6
136129131c6247
1429a70b62c490
1513e08ebc6339
hex9ee61e6e34e

10919449387854 has 480 divisors, whose sum is σ = 29523564531648. Its totient is φ = 2953996646400.

The previous prime is 10919449387849. The next prime is 10919449387867. The reversal of 10919449387854 is 45878394491901.

10919449387854 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 9 + 4 + 493 + 87 + 8 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18413910982 + ... + 18413911574.

Almost surely, 210919449387854 is an apocalyptic number.

10919449387854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10919449387854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761782265824).

10919449387854 is an abundant number, since it is smaller than the sum of its proper divisors (18604115143794).

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

10919449387854 is a wasteful number, since it uses less digits than its factorization.

10919449387854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 10919449387854 in words is "ten trillion, nine hundred nineteen billion, four hundred forty-nine million, three hundred eighty-seven thousand, eight hundred fifty-four".