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11432222064 = 243431727827
BaseRepresentation
bin10101010010110100…
…11101110101110000
31002111201202001110000
422221122131311300
5141403122101224
65130224110000
7553205166324
oct125132356560
932451661400
1011432222064
11493721170a
122270765300
13110263b453
147a6461984
1546d9ba0c9
hex2a969dd70

11432222064 has 100 divisors (see below), whose sum is σ = 33193739304. Its totient is φ = 3798582912.

The previous prime is 11432222051. The next prime is 11432222069. The reversal of 11432222064 is 46022223411.

11432222064 is a `hidden beast` number, since 1 + 1 + 432 + 2 + 220 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11432222069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 396919 + ... + 424745.

Almost surely, 211432222064 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 11432222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596869652).

11432222064 is an abundant number, since it is smaller than the sum of its proper divisors (21761517240).

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

11432222064 is a wasteful number, since it uses less digits than its factorization.

11432222064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28164 (or 28149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11432222064 its reverse (46022223411), we get a palindrome (57454445475).

The spelling of 11432222064 in words is "eleven billion, four hundred thirty-two million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 317 324 432 634 648 951 1268 1296 1902 2536 2853 3804 5072 5706 7608 8559 11412 15216 17118 22824 25677 27827 34236 45648 51354 55654 68472 83481 102708 111308 136944 166962 205416 222616 250443 333924 410832 445232 500886 667848 751329 1001772 1335696 1502658 2003544 2253987 3005316 4007088 4507974 6010632 8821159 9015948 12021264 17642318 18031896 26463477 35284636 36063792 52926954 70569272 79390431 105853908 141138544 158780862 211707816 238171293 317561724 423415632 476342586 635123448 714513879 952685172 1270246896 1429027758 1905370344 2858055516 3810740688 5716111032 11432222064