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68922259560 = 233357112928579
BaseRepresentation
bin100000000110000010…
…1100011100001101000
320120220022101112221000
41000030011203201220
52112123044301220
651355031115000
74656646353150
oct1001405434150
9216808345830
1068922259560
11272589007a0
1211435b12a60
13666508b70b
14349b82d760
151bd5bc5390
hex100c163868

68922259560 has 512 divisors, whose sum is σ = 296317440000. Its totient is φ = 13827179520.

The previous prime is 68922259513. The next prime is 68922259663. The reversal of 68922259560 is 6595222986.

68922259560 is a `hidden beast` number, since 6 + 8 + 9 + 2 + 22 + 59 + 560 = 666.

It is a super-2 number, since 2×689222595602 (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 junction number, because it is equal to n+sod(n) for n = 68922259497 and 68922259506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2397351 + ... + 2425929.

It is an arithmetic number, because the mean of its divisors is an integer number (578745000).

Almost surely, 268922259560 is an apocalyptic number.

68922259560 is a gapful number since it is divisible by the number (60) 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 68922259560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148158720000).

68922259560 is an abundant number, since it is smaller than the sum of its proper divisors (227395180440).

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

68922259560 is a wasteful number, since it uses less digits than its factorization.

68922259560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28646 (or 28636 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 68922259560 in words is "sixty-eight billion, nine hundred twenty-two million, two hundred fifty-nine thousand, five hundred sixty".