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1061333034336 = 25328344399809
BaseRepresentation
bin11110111000111000110…
…00001110010101100000
310202110111010100101120100
433130130120032111200
5114342102224044321
62131323014142400
7136451551641141
oct17343430162540
93673433311510
101061333034336
1137a121913423
1215183a351a00
1379110c58b33
1439523d79ac8
151c91b032326
hexf71c60e560

1061333034336 has 72 divisors (see below), whose sum is σ = 3054529328760. Its totient is φ = 349515288576.

The previous prime is 1061333034317. The next prime is 1061333034361. The reversal of 1061333034336 is 6334303331601.

1061333034336 is a `hidden beast` number, since 1 + 0 + 6 + 13 + 3 + 303 + 4 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10613330343362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1061333034336.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22176001 + ... + 22223808.

It is an arithmetic number, because the mean of its divisors is an integer number (42424018455).

Almost surely, 21061333034336 is an apocalyptic number.

1061333034336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1061333034336 is an abundant number, since it is smaller than the sum of its proper divisors (1993196294424).

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

1061333034336 is a wasteful number, since it uses less digits than its factorization.

1061333034336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44399908 (or 44399897 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

Adding to 1061333034336 its reverse (6334303331601), we get a palindrome (7395636365937).

The spelling of 1061333034336 in words is "one trillion, sixty-one billion, three hundred thirty-three million, thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 44399809 88799618 133199427 177599236 266398854 355198472 399598281 532797708 710396944 799196562 1065595416 1420793888 1598393124 2131190832 3196786248 3685184147 4262381664 6393572496 7370368294 11055552441 12787144992 14740736588 22111104882 29481473176 33166657323 44222209764 58962946352 66333314646 88444419528 117925892704 132666629292 176888839056 265333258584 353777678112 530666517168 1061333034336