Search a number
-
+
7426105064028 = 22327261716674093
BaseRepresentation
bin110110000010000011001…
…0110101011101001011100
3222021221002000211000001100
41230010012112223221130
51433132130344022103
623443301111513100
71364342543356500
oct154040626535134
928257060730040
107426105064028
11240343678a722
129bb28b688790
1341b381404b01
141b95d543c300
15cd283d015a3
hex6c1065aba5c

7426105064028 has 216 divisors, whose sum is σ = 21890143456272. Its totient is φ = 2116517534208.

The previous prime is 7426105064017. The next prime is 7426105064039. The reversal of 7426105064028 is 8204605016247.

7426105064028 is a `hidden beast` number, since 7 + 4 + 2 + 610 + 5 + 0 + 6 + 4 + 0 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (7426105064017) and next prime (7426105064039).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1814340750 + ... + 1814344842.

It is an arithmetic number, because the mean of its divisors is an integer number (101343256742).

Almost surely, 27426105064028 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 7426105064028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945071728136).

7426105064028 is an abundant number, since it is smaller than the sum of its proper divisors (14464038392244).

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

7426105064028 is a wasteful number, since it uses less digits than its factorization.

7426105064028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 7426105064028 in words is "seven trillion, four hundred twenty-six billion, one hundred five million, sixty-four thousand, twenty-eight".