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132243621336 = 23323771699169
BaseRepresentation
bin111101100101001010…
…1011000010111011000
3110122100021201000111100
41323022111120113120
54131313331340321
6140430223431400
712361056143301
oct1731225302730
9418307630440
10132243621336
11510a2093042
1221768155560
13c61696a118
14658745d7a8
15368ecea326
hex1eca5585d8

132243621336 has 96 divisors (see below), whose sum is σ = 373021178400. Its totient is φ = 42285680640.

The previous prime is 132243621329. The next prime is 132243621347. The reversal of 132243621336 is 633126342231.

132243621336 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 436 + 213 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132243621336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160441 + ... + 538728.

It is an arithmetic number, because the mean of its divisors is an integer number (3885637275).

Almost surely, 2132243621336 is an apocalyptic number.

It is an amenable number.

132243621336 is an abundant number, since it is smaller than the sum of its proper divisors (240777557064).

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

132243621336 is a wasteful number, since it uses less digits than its factorization.

132243621336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699289 (or 699282 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 132243621336 its reverse (633126342231), we get a palindrome (765369963567).

The spelling of 132243621336 in words is "one hundred thirty-two billion, two hundred forty-three million, six hundred twenty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 111 142 148 213 222 284 296 333 426 444 568 639 666 852 888 1278 1332 1704 2556 2627 2664 5112 5254 7881 10508 15762 21016 23643 31524 47286 63048 94572 189144 699169 1398338 2097507 2796676 4195014 5593352 6292521 8390028 12585042 16780056 25170084 25869253 49640999 50340168 51738506 77607759 99281998 103477012 148922997 155215518 198563996 206954024 232823277 297845994 310431036 397127992 446768991 465646554 595691988 620862072 893537982 931293108 1191383976 1787075964 1836716963 1862586216 3574151928 3673433926 5510150889 7346867852 11020301778 14693735704 16530452667 22040603556 33060905334 44081207112 66121810668 132243621336