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1068422046192 = 24352691021561
BaseRepresentation
bin11111000110000101110…
…10101010000111110000
310210010210011120111200000
433203002322222013300
5120001112020434232
62134454252230000
7140122331356164
oct17430272520760
93703704514600
101068422046192
1138212a433a06
1215309846b300
13799a0828cc7
14399d7666ca4
151cbd358027c
hexf8c2eaa1f0

1068422046192 has 120 divisors (see below), whose sum is σ = 3112372514160. Its totient is φ = 354816391680.

The previous prime is 1068422046163. The next prime is 1068422046229. The reversal of 1068422046192 is 2916402248601.

It is a happy number.

1068422046192 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 4 + 2 + 20 + 4 + 619 + 2 = 666.

1068422046192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10684220461922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535092 + ... + 1556652.

It is an arithmetic number, because the mean of its divisors is an integer number (25936437618).

Almost surely, 21068422046192 is an apocalyptic number.

1068422046192 is a gapful number since it is divisible by the number (12) 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 1068422046192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556186257080).

1068422046192 is an abundant number, since it is smaller than the sum of its proper divisors (2043950467968).

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

1068422046192 is a wasteful number, since it uses less digits than its factorization.

1068422046192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021853 (or 1021835 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1068422046192 in words is "one trillion, sixty-eight billion, four hundred twenty-two million, forty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 269 324 432 486 538 648 807 972 1076 1296 1614 1944 2152 2421 3228 3888 4304 4842 6456 7263 9684 12912 14526 19368 21789 29052 38736 43578 58104 65367 87156 116208 130734 174312 261468 348624 522936 1021561 1045872 2043122 3064683 4086244 6129366 8172488 9194049 12258732 16344976 18388098 24517464 27582147 36776196 49034928 55164294 73552392 82746441 110328588 147104784 165492882 220657176 248239323 274799909 330985764 441314352 496478646 549599818 661971528 824399727 992957292 1099199636 1323943056 1648799454 1985914584 2198399272 2473199181 3297598908 3971829168 4396798544 4946398362 6595197816 7419597543 9892796724 13190395632 14839195086 19785593448 22258792629 29678390172 39571186896 44517585258 59356780344 66776377887 89035170516 118713560688 133552755774 178070341032 267105511548 356140682064 534211023096 1068422046192