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1064042561088 = 26331347366567
BaseRepresentation
bin11110111101111011110…
…00001111111001000000
310202201110221210121112000
433132331320033321000
5114413124343423323
62132451524504000
7136605652353063
oct17367570177100
93681427717460
101064042561088
11380292316a31
1215227584b000
13794533c98c0
14396ddb6c8da
151ca28d49e43
hexf7bde0fe40

1064042561088 has 112 divisors (see below), whose sum is σ = 3368710316160. Its totient is φ = 327397704192.

The previous prime is 1064042561059. The next prime is 1064042561089. The reversal of 1064042561088 is 8801652404601.

It is a happy number.

1064042561088 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 4 + 2 + 561 + 0 + 88 = 666.

It is a super-2 number, since 2×10640425610882 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064042561089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23660820 + ... + 23705747.

It is an arithmetic number, because the mean of its divisors is an integer number (30077770680).

Almost surely, 21064042561088 is an apocalyptic number.

1064042561088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1064042561088 is an abundant number, since it is smaller than the sum of its proper divisors (2304667755072).

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

1064042561088 is a wasteful number, since it uses less digits than its factorization.

1064042561088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47366601 (or 47366585 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 1064042561088 its reverse (8801652404601), we get a palindrome (9865694965689).

The spelling of 1064042561088 in words is "one trillion, sixty-four billion, forty-two million, five hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 47366567 94733134 142099701 189466268 284199402 378932536 426299103 568398804 615765371 757865072 852598206 1136797608 1231530742 1278897309 1515730144 1705196412 1847296113 2273595216 2463061484 2557794618 3031460288 3410392824 3694592226 4547190432 4926122968 5115589236 5541888339 6820785648 7389184452 9094380864 9852245936 10231178472 11083776678 13641571296 14778368904 16625665017 19704491872 20462356944 22167553356 27283142592 29556737808 33251330034 39408983744 40924713888 44335106712 59113475616 66502660068 81849427776 88670213424 118226951232 133005320136 177340426848 266010640272 354680853696 532021280544 1064042561088