Search a number
-
+
5395845684096 = 2735724782507
BaseRepresentation
bin100111010000101000101…
…1101110001101110000000
3201002211121202121101100000
41032201101131301232000
51201401142443342341
615250452311200000
71064560041363030
oct116412135615600
921084552541300
105395845684096
1117a040224592a
12731901976000
13301a97b306ca
14149235d058c0
15955595618b6
hex4e851771b80

5395845684096 has 192 divisors, whose sum is σ = 18402499140480. Its totient is φ = 1541670133248.

The previous prime is 5395845684079. The next prime is 5395845684101. The reversal of 5395845684096 is 6904865485935.

It is a happy number.

5395845684096 is a `hidden beast` number, since 5 + 3 + 9 + 5 + 8 + 456 + 84 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12173526 + ... + 12608981.

It is an arithmetic number, because the mean of its divisors is an integer number (95846349690).

Almost surely, 25395845684096 is an apocalyptic number.

5395845684096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5395845684096 is an abundant number, since it is smaller than the sum of its proper divisors (13006653456384).

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

5395845684096 is an equidigital number, since it uses as much as digits as its factorization.

5395845684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24782543 (or 24782519 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 5395845684096 in words is "five trillion, three hundred ninety-five billion, eight hundred forty-five million, six hundred eighty-four thousand, ninety-six".