Search a number
-
+
613352906526528 = 263273116691293999
BaseRepresentation
bin1000101101110101110101101…
…0000111011000111101000000
32222102200222001122021202012100
42023131131122013120331000
51120343133223032322103
610012254234012430400
7243123166543102230
oct21335353207307500
92872628048252170
10613352906526528
11168484563725423
125895ba9b478400
1320431c1427ac2c
14ab66620b59cc0
154ad9ab3b365a3
hex22dd75a1d8f40

613352906526528 has 336 divisors, whose sum is σ = 2074162341888000. Its totient is φ = 169579927987200.

The previous prime is 613352906526509. The next prime is 613352906526553. The reversal of 613352906526528 is 825625609253316.

613352906526528 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 5 + 29 + 0 + 65 + 26 + 528 = 666.

613352906526528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×6133529065265283 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086094473 + ... + 2086388471.

It is an arithmetic number, because the mean of its divisors is an integer number (6173102208000).

Almost surely, 2613352906526528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613352906526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037081170944000).

613352906526528 is an abundant number, since it is smaller than the sum of its proper divisors (1460809435361472).

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

613352906526528 is a wasteful number, since it uses less digits than its factorization.

613352906526528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310746 (or 310733 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 613352906526528 in words is "six hundred thirteen trillion, three hundred fifty-two billion, nine hundred six million, five hundred twenty-six thousand, five hundred twenty-eight".