Search a number
-
+
5354348626314 = 233711396543721
BaseRepresentation
bin100110111101010100000…
…0011000100000110001010
3200221212111202120102122000
41031322220003010012022
51200211201222020224
615215430453211430
71061560515250212
oct115725003040612
920855452512560
105354348626314
111784848237156
12725860630b76
132cabb387914c
1414721a99d242
159442b4120c9
hex4dea80c418a

5354348626314 has 32 divisors (see below), whose sum is σ = 12066137758080. Its totient is φ = 1759645087200.

The previous prime is 5354348626241. The next prime is 5354348626339. The reversal of 5354348626314 is 4136268434535.

5354348626314 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 3 + 4 + 8 + 626 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×53543486263142 (a number of 26 digits) contains 22 as substring.

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

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

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 15 ways as a sum of consecutive naturals, for example, 698268027 + ... + 698275694.

It is an arithmetic number, because the mean of its divisors is an integer number (377066804940).

Almost surely, 25354348626314 is an apocalyptic number.

5354348626314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5354348626314 is an abundant number, since it is smaller than the sum of its proper divisors (6711789131766).

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

5354348626314 is a wasteful number, since it uses less digits than its factorization.

5354348626314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396543803 (or 1396543797 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 5354348626314 in words is "five trillion, three hundred fifty-four billion, three hundred forty-eight million, six hundred twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 1396543721 2793087442 4189631163 8379262326 12568893489 25137786978 37706680467 75413360934 99154604191 198309208382 297463812573 594927625146 892391437719 1784782875438 2677174313157 5354348626314