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1136613003552 = 2532131392184047
BaseRepresentation
bin10000100010100011011…
…010100001000100100000
311000122210111220001120100
4100202203122201010200
5122110240412103202
62230053001142400
7145055221060065
oct20424332410440
94018714801510
101136613003552
113a9042455514
1216434948aa00
138324a238710
143d025cd0c6c
151e874e4d41c
hex108a36a1120

1136613003552 has 144 divisors (see below), whose sum is σ = 3505921211520. Its totient is φ = 347210896896.

The previous prime is 1136613003527. The next prime is 1136613003553. The reversal of 1136613003552 is 2553003166311.

1136613003552 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 613 + 0 + 0 + 35 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1136613003553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571608 + ... + 1612439.

It is an arithmetic number, because the mean of its divisors is an integer number (24346675080).

Almost surely, 21136613003552 is an apocalyptic number.

1136613003552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1136613003552 is an abundant number, since it is smaller than the sum of its proper divisors (2369308207968).

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

1136613003552 is a wasteful number, since it uses less digits than its factorization.

1136613003552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184215 (or 2184204 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 1136613003552 its reverse (2553003166311), we get a palindrome (3689616169863).

The spelling of 1136613003552 in words is "one trillion, one hundred thirty-six billion, six hundred thirteen million, three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 139 144 156 208 234 278 288 312 416 417 468 556 624 834 936 1112 1248 1251 1668 1807 1872 2224 2502 3336 3614 3744 4448 5004 5421 6672 7228 10008 10842 13344 14456 16263 20016 21684 28912 32526 40032 43368 57824 65052 86736 130104 173472 260208 520416 2184047 4368094 6552141 8736188 13104282 17472376 19656423 26208564 28392611 34944752 39312846 52417128 56785222 69889504 78625692 85177833 104834256 113570444 157251384 170355666 209668512 227140888 255533499 303582533 314502768 340711332 454281776 511066998 607165066 629005536 681422664 908563552 910747599 1022133996 1214330132 1362845328 1821495198 2044267992 2428660264 2725690656 2732242797 3642990396 3946572929 4088535984 4857320528 5464485594 7285980792 7893145858 8177071968 9714641056 10928971188 11839718787 14571961584 15786291716 21857942376 23679437574 29143923168 31572583432 35519156361 43715884752 47358875148 63145166864 71038312722 87431769504 94717750296 126290333728 142076625444 189435500592 284153250888 378871001184 568306501776 1136613003552