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11933757332856 = 2333232557939431
BaseRepresentation
bin1010110110101000101101…
…0111011101110101111000
31120020212010001210221122000
42231222023113131311320
53031010313334122411
641214143055501000
72341120426435032
oct255521327356570
946225101727560
1011933757332856
1138910949a15a7
121408a13227760
1368746b820b18
142d384ddccc52
1515a6575ed956
hexada8b5ddd78

11933757332856 has 128 divisors (see below), whose sum is σ = 34604165606400. Its totient is φ = 3803473998720.

The previous prime is 11933757332813. The next prime is 11933757332881. The reversal of 11933757332856 is 65823375733911.

11933757332856 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 3 + 7 + 573 + 3 + 2 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11933757332793 and 11933757332802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12233461 + ... + 13172891.

It is an arithmetic number, because the mean of its divisors is an integer number (270345043800).

Almost surely, 211933757332856 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 11933757332856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302082803200).

11933757332856 is an abundant number, since it is smaller than the sum of its proper divisors (22670408273544).

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

11933757332856 is a wasteful number, since it uses less digits than its factorization.

11933757332856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942026 (or 942016 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 11933757332856 in words is "eleven trillion, nine hundred thirty-three billion, seven hundred fifty-seven million, three hundred thirty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 2557 4968 5114 7671 10228 15342 20456 23013 30684 46026 58811 61368 69039 92052 117622 138078 176433 184104 235244 276156 352866 470488 529299 552312 705732 939431 1058598 1411464 1587897 1878862 2117196 2818293 3175794 3757724 4234392 5636586 6351588 7515448 8454879 11273172 12703176 16909758 21606913 22546344 25364637 33819516 43213826 50729274 64820739 67639032 86427652 101458548 129641478 172855304 194462217 202917096 259282956 388924434 518565912 583386651 777848868 1166773302 1555697736 2333546604 2402125067 4667093208 4804250134 7206375201 9608500268 14412750402 19217000536 21619125603 28825500804 43238251206 55248876541 57651001608 64857376809 86476502412 110497753082 129714753618 165746629623 172953004824 220995506164 259429507236 331493259246 441991012328 497239888869 518859014472 662986518492 994479777738 1325973036984 1491719666607 1988959555476 2983439333214 3977919110952 5966878666428 11933757332856