Search a number
-
+
12384634530048 = 283112133271291
BaseRepresentation
bin1011010000111000010110…
…1111011110100100000000
31121211221220110210201120120
42310032011233132210000
53110402212414430143
642201231134540240
72415521534406024
oct264160557364400
947757813721516
1012384634530048
113a45326364200
121480285067680
136bab34870471
1430b5c31c4384
151672458b2383
hexb4385bde900

12384634530048 has 108 divisors (see below), whose sum is σ = 36230067272784. Its totient is φ = 3752919526400.

The previous prime is 12384634530043. The next prime is 12384634530053. The reversal of 12384634530048 is 84003543648321.

It is an interprime number because it is at equal distance from previous prime (12384634530043) and next prime (12384634530053).

It is not an unprimeable number, because it can be changed into a prime (12384634530043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66542718 + ... + 66728573.

Almost surely, 212384634530048 is an apocalyptic number.

It is an amenable number.

12384634530048 is an abundant number, since it is smaller than the sum of its proper divisors (23845432742736).

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

12384634530048 is a wasteful number, since it uses less digits than its factorization.

12384634530048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133271332 (or 133271307 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 12384634530048 in words is "twelve trillion, three hundred eighty-four billion, six hundred thirty-four million, five hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 7744 8448 11616 15488 23232 30976 46464 92928 133271291 266542582 399813873 533085164 799627746 1066170328 1465984201 1599255492 2132340656 2931968402 3198510984 4264681312 4397952603 5863936804 6397021968 8529362624 8795905206 11727873608 12794043936 16125826211 17058725248 17591810412 23455747216 25588087872 32251652422 34117450496 35183620824 46911494432 48377478633 51176175744 64503304844 70367241648 93822988864 96754957266 102352351488 129006609688 140734483296 187645977728 193509914532 258013219376 281468966592 375291955456 387019829064 516026438752 562937933184 774039658128 1032052877504 1125875866368 1548079316256 2064105755008 3096158632512 4128211510016 6192317265024 12384634530048