Search a number
-
+
730404026616 = 2331137212715913
BaseRepresentation
bin10101010000011110111…
…10001111100011111000
32120211022010000222102210
422220033132033203320
543431331412322431
61315313141055120
7103525043534355
oct12501736174370
92524263028383
10730404026616
11261843038920
12b96829b74a0
1353b52453334
14274cd28162c
1513eed3dcd46
hexaa0f78f8f8

730404026616 has 192 divisors, whose sum is σ = 2063554375680. Its totient is φ = 213643422720.

The previous prime is 730404026549. The next prime is 730404026617. The reversal of 730404026616 is 616620404037.

It is a happy number.

It is a super-2 number, since 2×7304040266162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730404026617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45891876 + ... + 45907788.

It is an arithmetic number, because the mean of its divisors is an integer number (10747679040).

Almost surely, 2730404026616 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 730404026616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031777187840).

730404026616 is an abundant number, since it is smaller than the sum of its proper divisors (1333150349064).

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

730404026616 is a wasteful number, since it uses less digits than its factorization.

730404026616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16134 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 730404026616 in words is "seven hundred thirty billion, four hundred four million, twenty-six thousand, six hundred sixteen".