Search a number
-
+
6042929019840 = 2633559116310193
BaseRepresentation
bin101011111101111101010…
…1000110011101111000000
3210101200212010001201021000
41113323322220303233000
51243001404312113330
620504025552532000
71162405262106336
oct127737250635700
923350763051230
106042929019840
111a1a878990449
128171b0851000
1334aacc1a3b9b
1416c69d3a7b56
15a72ccb92560
hex57efaa33bc0

6042929019840 has 448 divisors, whose sum is σ = 21700204300800. Its totient is φ = 1582617673728.

The previous prime is 6042929019823. The next prime is 6042929019863. The reversal of 6042929019840 is 489109292406.

6042929019840 is a `hidden beast` number, since 6 + 0 + 429 + 2 + 90 + 1 + 98 + 40 = 666.

It is a super-2 number, since 2×60429290198402 (a number of 26 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 592845784 + ... + 592855976.

Almost surely, 26042929019840 is an apocalyptic number.

6042929019840 is a gapful number since it is divisible by the number (60) 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 6042929019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10850102150400).

6042929019840 is an abundant number, since it is smaller than the sum of its proper divisors (15657275280960).

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

6042929019840 is a wasteful number, since it uses less digits than its factorization.

6042929019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441 (or 11425 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 6042929019840 in words is "six trillion, forty-two billion, nine hundred twenty-nine million, nineteen thousand, eight hundred forty".