Search a number
-
+
5838709221864 = 233281093183637
BaseRepresentation
bin101010011110110111000…
…1100000110100111101000
3202200011201200111002011200
41110331232030012213220
51231130134030044424
620230133241524200
71141555441343331
oct124755614064750
922604650432150
105838709221864
111951201160602
127a36b7aa3660
1333478486683c
14162848ab9288
15a1d2902c8c9
hex54f6e3069e8

5838709221864 has 24 divisors (see below), whose sum is σ = 15813170809410. Its totient is φ = 1946236407264.

The previous prime is 5838709221823. The next prime is 5838709221869. The reversal of 5838709221864 is 4681229078385.

5838709221864 is a `hidden beast` number, since 58 + 387 + 0 + 9 + 22 + 186 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4962691844100 + 876017377764 = 2227710^2 + 935958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (5838709221869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40546591747 + ... + 40546591890.

It is a 1-persistent number, because it is pandigital, but 2⋅5838709221864 = 11677418443728 is not.

Almost surely, 25838709221864 is an apocalyptic number.

It is an amenable number.

5838709221864 is an abundant number, since it is smaller than the sum of its proper divisors (9974461587546).

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

5838709221864 is a wasteful number, since it uses less digits than its factorization.

5838709221864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81093183649 (or 81093183642 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 5838709221864 in words is "five trillion, eight hundred thirty-eight billion, seven hundred nine million, two hundred twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 81093183637 162186367274 243279550911 324372734548 486559101822 648745469096 729838652733 973118203644 1459677305466 1946236407288 2919354610932 5838709221864