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134522682624 = 28321123892593
BaseRepresentation
bin111110101001000101…
…1010011110100000000
3110212020010011022211200
41331102023103310000
54201000301320444
6141444315541200
712501411635661
oct1752213236400
9425203138750
10134522682624
1152061602570
12220a345a800
13c8bab907b5
146721ddb368
153774e32969
hex1f522d3d00

134522682624 has 432 divisors, whose sum is σ = 446651936640. Its totient is φ = 38539100160.

The previous prime is 134522682589. The next prime is 134522682659. The reversal of 134522682624 is 426286225431.

It is a happy number.

134522682624 is a `hidden beast` number, since 1 + 3 + 4 + 522 + 68 + 2 + 62 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (134522682589) and next prime (134522682659).

It is a self number, because there is not a number n which added to its sum of digits gives 134522682624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51877872 + ... + 51880464.

It is an arithmetic number, because the mean of its divisors is an integer number (1033916520).

Almost surely, 2134522682624 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 134522682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223325968320).

134522682624 is an abundant number, since it is smaller than the sum of its proper divisors (312129254016).

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

134522682624 is a wasteful number, since it uses less digits than its factorization.

134522682624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2721 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 134522682624 in words is "one hundred thirty-four billion, five hundred twenty-two million, six hundred eighty-two thousand, six hundred twenty-four".