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1068526038528 = 29351331101211
BaseRepresentation
bin11111000110010010001…
…11010110111000000000
310210011001102020212100000
433203021013112320000
5120001320131213103
62134512445200000
7140125033316634
oct17431107267000
93704042225300
101068526038528
11382183101993
12153107260000
13799b9239a30
1439a073b6dc4
151cbdc772aa3
hexf8c91d6e00

1068526038528 has 960 divisors, whose sum is σ = 3607373113344. Its totient is φ = 313528320000.

The previous prime is 1068526038449. The next prime is 1068526038563. The reversal of 1068526038528 is 8258306258601.

1068526038528 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 2 + 603 + 8 + 5 + 28 = 666.

It is a super-2 number, since 2×10685260385282 (a number of 25 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5064104343 + ... + 5064104553.

Almost surely, 21068526038528 is an apocalyptic number.

1068526038528 is a gapful number since it is divisible by the number (18) 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 1068526038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803686556672).

1068526038528 is an abundant number, since it is smaller than the sum of its proper divisors (2538847074816).

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

1068526038528 is a wasteful number, since it uses less digits than its factorization.

1068526038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1068526038528 in words is "one trillion, sixty-eight billion, five hundred twenty-six million, thirty-eight thousand, five hundred twenty-eight".