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1126628787336 = 2331317367578777
BaseRepresentation
bin10000011001010000010…
…011110000010010001000
310222201000200211022201120
4100121100103300102020
5121424313432143321
62221322140515240
7144252624454023
oct20312023602210
93881020738646
101126628787336
113a4889641058
1216242184bb20
13823188b6580
143c759cba1ba
151e48d65bec6
hex106504f0488

1126628787336 has 128 divisors (see below), whose sum is σ = 3220413396480. Its totient is φ = 325373976576.

The previous prime is 1126628787329. The next prime is 1126628787371. The reversal of 1126628787336 is 6337878266211.

It is a happy number.

It is a super-4 number, since 4×11266287873364 (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1126628787336.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1657180 + ... + 2235956.

It is an arithmetic number, because the mean of its divisors is an integer number (25159479660).

Almost surely, 21126628787336 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 1126628787336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610206698240).

1126628787336 is an abundant number, since it is smaller than the sum of its proper divisors (2093784609144).

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

1126628787336 is a wasteful number, since it uses less digits than its factorization.

1126628787336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579183 (or 579179 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 1126628787336 in words is "one trillion, one hundred twenty-six billion, six hundred twenty-eight million, seven hundred eighty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 367 408 442 663 734 884 1101 1326 1468 1768 2202 2652 2936 4404 4771 5304 6239 8808 9542 12478 14313 18717 19084 24956 28626 37434 38168 49912 57252 74868 81107 114504 149736 162214 243321 324428 486642 578777 648856 973284 1157554 1736331 1946568 2315108 3472662 4630216 6945324 7524101 9839209 13890648 15048202 19678418 22572303 29517627 30096404 39356836 45144606 59035254 60192808 78713672 90289212 118070508 127909717 180578424 212411159 236141016 255819434 383729151 424822318 511638868 637233477 767458302 849644636 1023277736 1274466954 1534916604 1699289272 2548933908 2761345067 3069833208 3610989703 5097867816 5522690134 7221979406 8284035201 10832969109 11045380268 14443958812 16568070402 21665938218 22090760536 28887917624 33136140804 43331876436 46942866139 66272281608 86663752872 93885732278 140828598417 187771464556 281657196834 375542929112 563314393668 1126628787336