Search a number
-
+
104045514540 = 2235111271976301
BaseRepresentation
bin110000011100110011…
…0001000111100101100
3100221120002222202220120
41200321212020330230
53201041122431130
6115444200244540
710342226165352
oct1407146107454
9327502882816
10104045514540
1140141a87050
12181b8770750
139a719a8a26
1450704617d2
152a8e4a0910
hex1839988f2c

104045514540 has 192 divisors, whose sum is σ = 321991262208. Its totient is φ = 24893568000.

The previous prime is 104045514493. The next prime is 104045514563. The reversal of 104045514540 is 45415540401.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 16509390 + ... + 16515690.

It is an arithmetic number, because the mean of its divisors is an integer number (1677037824).

Almost surely, 2104045514540 is an apocalyptic number.

104045514540 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 104045514540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160995631104).

104045514540 is an abundant number, since it is smaller than the sum of its proper divisors (217945747668).

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

104045514540 is a wasteful number, since it uses less digits than its factorization.

104045514540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 104045514540 in words is "one hundred four billion, forty-five million, five hundred fourteen thousand, five hundred forty".