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11496042316044 = 2232111312971721749
BaseRepresentation
bin1010011101001010000110…
…0001001100000100001100
31111201000021221210012210200
42213102201201030010030
53001322343313103134
640241113043533500
72264363434251546
oct247224141140414
944630257705720
1011496042316044
113732498205920
12135801538a290
136550c26481b0
142ba5a8cdc696
1514e089b25499
hexa74a184c10c

11496042316044 has 144 divisors (see below), whose sum is σ = 34166103972000. Its totient is φ = 3213194987520.

The previous prime is 11496042316007. The next prime is 11496042316139. The reversal of 11496042316044 is 44061324069411.

11496042316044 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 6 + 0 + 4 + 2 + 31 + 604 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5816082 + ... + 7537830.

Almost surely, 211496042316044 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 11496042316044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083051986000).

11496042316044 is an abundant number, since it is smaller than the sum of its proper divisors (22670061655956).

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

11496042316044 is a wasteful number, since it uses less digits than its factorization.

11496042316044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723080 (or 1723075 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 11496042316044 in words is "eleven trillion, four hundred ninety-six billion, forty-two million, three hundred sixteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1297 1716 2574 2594 3891 5148 5188 7782 11673 14267 15564 16861 23346 28534 33722 42801 46692 50583 57068 67444 85602 101166 128403 151749 171204 185471 202332 256806 303498 370942 513612 556413 606996 741884 1112826 1669239 1721749 2225652 3338478 3443498 5165247 6676956 6886996 10330494 15495741 18939239 20660988 22382737 30991482 37878478 44765474 56817717 61982964 67148211 75756956 89530948 113635434 134296422 170453151 201444633 227270868 246210107 268592844 340906302 402889266 492420214 681812604 738630321 805778532 984840428 1477260642 2215890963 2233108453 2954521284 4431781926 4466216906 6699325359 8863563852 8932433812 13398650718 20097976077 24564192983 26797301436 29030409889 40195952154 49128385966 58060819778 73692578949 80391904308 87091229667 98256771932 116121639556 147385157898 174182459334 221077736847 261273689001 294770315796 319334508779 348364918668 442155473694 522547378002 638669017558 884310947388 958003526337 1045094756004 1277338035116 1916007052674 2874010579011 3832014105348 5748021158022 11496042316044