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1126513032568 = 2371117827313003
BaseRepresentation
bin10000011001001001011…
…010001011110101111000
310222200201122000101000221
4100121021122023311320
5121424044314020233
62221302443505424
7144250020533410
oct20311132136570
93880648011027
101126513032568
113a482a269860
121623aab28274
13822ca917a21
143c748787640
151e4833e442d
hex1064968bd78

1126513032568 has 128 divisors (see below), whose sum is σ = 2788864888320. Its totient is φ = 413001768960.

The previous prime is 1126513032539. The next prime is 1126513032583. The reversal of 1126513032568 is 8652303156211.

It is a super-2 number, since 2×11265130325682 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 86628355 + ... + 86641357.

It is an arithmetic number, because the mean of its divisors is an integer number (21788006940).

Almost surely, 21126513032568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126513032568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394432444160).

1126513032568 is an abundant number, since it is smaller than the sum of its proper divisors (1662351855752).

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

1126513032568 is a wasteful number, since it uses less digits than its factorization.

1126513032568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21317 (or 21313 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

Adding to 1126513032568 its reverse (8652303156211), we get a palindrome (9778816188779).

The spelling of 1126513032568 in words is "one trillion, one hundred twenty-six billion, five hundred thirteen million, thirty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 8273 10472 13003 16546 26006 33092 52012 57911 66184 91003 91021 104024 115822 140641 143033 182006 182042 221051 231644 281282 286066 364012 364084 442102 463288 562564 572132 637021 728024 728168 884204 984487 1001231 1125128 1144264 1274042 1547051 1547357 1768408 1968974 2002462 2431561 2548084 3094102 3094714 3937948 4004924 4863122 5096168 6188204 6189428 7875896 8009848 9726244 10829357 12376408 12378856 17020927 19452488 21658714 34041854 43317428 68083708 86634856 107573819 136167416 215147638 430295276 753016733 860590552 1183312009 1506033466 1828754923 2366624018 3012066932 3657509846 4733248036 6024133864 7315019692 8283184063 9466496072 12801284461 14630039384 16566368126 20116304153 25602568922 33132736252 40232608306 51205137844 66265472504 80465216612 102410275688 140814129071 160930433224 281628258142 563256516284 1126513032568