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2011002240996 = 22327109271270157
BaseRepresentation
bin11101010000111001000…
…100101111111111100100
321010020202012111121021100
4131100321010233333210
5230422013033202441
64135501445120100
7265201340003310
oct35207104577744
97106665447240
102011002240996
1170595237a341
122858b46b9030
13117837a94a48
146d493b84b40
153749dd60cb6
hex1d43912ffe4

2011002240996 has 144 divisors (see below), whose sum is σ = 5884516718080. Its totient is φ = 567197925120.

The previous prime is 2011002240917. The next prime is 2011002240997. The reversal of 2011002240996 is 6990422001102.

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 2011002240996.

It is not an unprimeable number, because it can be changed into a prime (2011002240997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7308750 + ... + 7578906.

Almost surely, 22011002240996 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 2011002240996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942258359040).

2011002240996 is an abundant number, since it is smaller than the sum of its proper divisors (3873514477084).

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

2011002240996 is a wasteful number, since it uses less digits than its factorization.

2011002240996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270554 (or 270549 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2011002240996 in words is "two trillion, eleven billion, two million, two hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 271 327 436 542 654 763 813 981 1084 1308 1526 1626 1897 1962 2289 2439 3052 3252 3794 3924 4578 4878 5691 6867 7588 9156 9756 11382 13734 17073 22764 27468 29539 34146 59078 68292 88617 118156 177234 206773 265851 270157 354468 413546 531702 540314 620319 810471 827092 1063404 1080628 1240638 1620942 1860957 1891099 2431413 2481276 3241884 3721914 3782198 4862826 5673297 7443828 7564396 9725652 11346594 17019891 22693188 29447113 34039782 58894226 68079564 73212547 88341339 117788452 146425094 176682678 206129791 219637641 265024017 292850188 353365356 412259582 439275282 512487829 530048034 618389373 658912923 824519164 878550564 1024975658 1060096068 1236778746 1317825846 1537463487 1855168119 2049951316 2473557492 2635651692 3074926974 3710336238 4612390461 6149853948 7420672476 7980167623 9224780922 15960335246 18449561844 23940502869 31920670492 47881005738 55861173361 71821508607 95762011476 111722346722 143643017214 167583520083 223444693444 287286034428 335167040166 502750560249 670334080332 1005501120498 2011002240996