Search a number
-
+
67758313428 = 2236132816361
BaseRepresentation
bin111111000110101101…
…011100111111010100
320110220012012222000000
4333012231130333110
52102232112012203
651043331451300
74616054106201
oct770655347724
9213805188000
1067758313428
112681088a843
1211170156b30
13650abab8b0
1433cb006ca8
151b6890c4a3
hexfc6b5cfd4

67758313428 has 168 divisors, whose sum is σ = 192171513576. Its totient is φ = 20771251200.

The previous prime is 67758313423. The next prime is 67758313451. The reversal of 67758313428 is 82431385776.

It is a happy number.

67758313428 is a `hidden beast` number, since 6 + 7 + 7 + 583 + 1 + 34 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1605444624 + 66152868804 = 40068^2 + 257202^2 .

It is a super-2 number, since 2×677583134282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67758313423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10648968 + ... + 10655328.

It is an arithmetic number, because the mean of its divisors is an integer number (1143878057).

Almost surely, 267758313428 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 67758313428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96085756788).

67758313428 is an abundant number, since it is smaller than the sum of its proper divisors (124413200148).

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

67758313428 is a wasteful number, since it uses less digits than its factorization.

67758313428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6660 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 67758313428 in words is "sixty-seven billion, seven hundred fifty-eight million, three hundred thirteen thousand, four hundred twenty-eight".