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12385103190552 = 233376175346177
BaseRepresentation
bin1011010000111010000110…
…1011010001101000011000
31121212000010010200010221000
42310032201223101220120
53110404142404044202
642201345435545000
72415536255065131
oct264164153215030
947760103603830
1012385103190552
113a45546965834
121480395bbb160
136babaa9a1981
1430b62953cc88
15167271ad991c
hexb43a1ad1a18

12385103190552 has 64 divisors (see below), whose sum is σ = 34448272581600. Its totient is φ = 4122942750720.

The previous prime is 12385103190487. The next prime is 12385103190553. The reversal of 12385103190552 is 25509130158321.

12385103190552 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 5 + 1 + 0 + 3 + 1 + 90 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12385103190498 and 12385103190507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12385103190553) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37508713 + ... + 37837464.

Almost surely, 212385103190552 is an apocalyptic number.

12385103190552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12385103190552 is an abundant number, since it is smaller than the sum of its proper divisors (22063169391048).

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

12385103190552 is a wasteful number, since it uses less digits than its factorization.

12385103190552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75346953 (or 75346943 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 12385103190552 in words is "twelve trillion, three hundred eighty-five billion, one hundred three million, one hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 761 1522 2283 3044 4566 6088 6849 9132 13698 18264 20547 27396 41094 54792 82188 164376 75346177 150692354 226038531 301384708 452077062 602769416 678115593 904154124 1356231186 1808308248 2034346779 2712462372 4068693558 5424924744 8137387116 16274774232 57338440697 114676881394 172015322091 229353762788 344030644182 458707525576 516045966273 688061288364 1032091932546 1376122576728 1548137898819 2064183865092 3096275797638 4128367730184 6192551595276 12385103190552