Search a number
-
+
8342126755360 = 2553721112495347
BaseRepresentation
bin111100101100100110110…
…0000000111111000100000
31002112111111011020022222221
41321121031200013320200
52043134133422132420
625424153051440424
71520461451312416
oct171311540077040
932474434208887
108342126755360
112726970090332
12b28915456114
134868752a0338
1420ba926012b6
15e6ee7baacaa
hex7964d807e20

8342126755360 has 192 divisors, whose sum is σ = 20356948080000. Its totient is φ = 3228087582720.

The previous prime is 8342126755351. The next prime is 8342126755409. The reversal of 8342126755360 is 635576212438.

It is a super-2 number, since 2×83421267553602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8342126755298 and 8342126755307.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1560148207 + ... + 1560153553.

It is an arithmetic number, because the mean of its divisors is an integer number (106025771250).

Almost surely, 28342126755360 is an apocalyptic number.

8342126755360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8342126755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178474040000).

8342126755360 is an abundant number, since it is smaller than the sum of its proper divisors (12014821324640).

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

8342126755360 is a wasteful number, since it uses less digits than its factorization.

8342126755360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6859 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 8342126755360 in words is "eight trillion, three hundred forty-two billion, one hundred twenty-six million, seven hundred fifty-five thousand, three hundred sixty".