Search a number
-
+
7356600056 = 2313298212971
BaseRepresentation
bin1101101100111110…
…01100111011111000
3200222200202000002202
412312133030323320
5110031242200211
63213553245332
7350206032401
oct66637147370
920880660082
107356600056
113135677563
121513863848
139031602b0
144db0649a8
152d0ca853b
hex1b67ccef8

7356600056 has 64 divisors (see below), whose sum is σ = 15390799200. Its totient is φ = 3273177600.

The previous prime is 7356600037. The next prime is 7356600059. The reversal of 7356600056 is 6500066537.

It is a junction number, because it is equal to n+sod(n) for n = 7356599992 and 7356600019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7356600059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2474651 + ... + 2477621.

Almost surely, 27356600056 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 7356600056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695399600).

7356600056 is an abundant number, since it is smaller than the sum of its proper divisors (8034199144).

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

7356600056 is a wasteful number, since it uses less digits than its factorization.

7356600056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

The square root of 7356600056 is about 85770.6246683560. The cubic root of 7356600056 is about 1944.8780820702.

The spelling of 7356600056 in words is "seven billion, three hundred fifty-six million, six hundred thousand, fifty-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 821 1508 1642 2971 3016 3284 5942 6568 10673 11884 21346 23768 23809 38623 42692 47618 77246 85384 86159 95236 154492 172318 190472 308984 309517 344636 619034 689272 1120067 1238068 2240134 2439191 2476136 4480268 4878382 8960536 9756764 19513528 31709483 63418966 70736539 126837932 141473078 253675864 282946156 565892312 919575007 1839150014 3678300028 7356600056