Search a number
-
+
7413340068 = 2232205926113
BaseRepresentation
bin1101110011101111…
…01001011110100100
3201010122111200202200
412321313221132210
5110140303340233
63223341334500
7351465231231
oct67167513644
921118450680
107413340068
113164701132
12152a867430
13911b38474
145047d4788
152d5c65313
hex1b9de97a4

7413340068 has 18 divisors (see below), whose sum is σ = 18739276374. Its totient is φ = 2471113344.

The previous prime is 7413340021. The next prime is 7413340069. The reversal of 7413340068 is 8600433147.

It can be written as a sum of positive squares in only one way, i.e., 7411143744 + 2196324 = 86088^2 + 1482^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×74133400682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 205926113 = 7413340068 / (7 + 4 + 1 + 3 + 3 + 4 + 0 + 0 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (7413340069) 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, 102963021 + ... + 102963092.

Almost surely, 27413340068 is an apocalyptic number.

It is an amenable number.

7413340068 is an abundant number, since it is smaller than the sum of its proper divisors (11325936306).

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

7413340068 is a wasteful number, since it uses less digits than its factorization.

7413340068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205926123 (or 205926118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7413340068 is about 86100.7553276973. The cubic root of 7413340068 is about 1949.8654360792.

The spelling of 7413340068 in words is "seven billion, four hundred thirteen million, three hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 205926113 411852226 617778339 823704452 1235556678 1853335017 2471113356 3706670034 7413340068