Search a number
-
+
68534958492 = 2233711132343641
BaseRepresentation
bin111111110101000000…
…000111100110011100
320112220022121121202000
4333311000013212130
52110324422132432
651252354002300
74644234351420
oct776500074634
9215808547660
1068534958492
112707a219770
1211348276390
136602a752a0
143462212b80
151bb1bbe57c
hexff500799c

68534958492 has 768 divisors, whose sum is σ = 255126896640. Its totient is φ = 15328051200.

The previous prime is 68534958451. The next prime is 68534958493. The reversal of 68534958492 is 29485943586.

68534958492 is a `hidden beast` number, since 6 + 8 + 5 + 3 + 49 + 584 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68534958493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 106918492 + ... + 106919132.

It is an arithmetic number, because the mean of its divisors is an integer number (332196480).

Almost surely, 268534958492 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 68534958492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127563448320).

68534958492 is an abundant number, since it is smaller than the sum of its proper divisors (186591938148).

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

68534958492 is a wasteful number, since it uses less digits than its factorization.

68534958492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 68534958492 in words is "sixty-eight billion, five hundred thirty-four million, nine hundred fifty-eight thousand, four hundred ninety-two".