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12424132404 = 2233673834483
BaseRepresentation
bin10111001001000100…
…10011011100110100
31012001212012022122000
423210202103130310
5200421034214104
65412500135300
7616611245235
oct134442233464
935055168560
1012424132404
1152a610a622
1224a8997530
13122cca5448
1485c0a508c
154caaee639
hex2e4893734

12424132404 has 96 divisors (see below), whose sum is σ = 32784138240. Its totient is φ = 4068006624.

The previous prime is 12424132393. The next prime is 12424132417. The reversal of 12424132404 is 40423142421.

12424132404 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 413 + 240 + 4 = 666.

It is a super-3 number, since 3×124241324043 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769147 + ... + 2773629.

It is an arithmetic number, because the mean of its divisors is an integer number (341501440).

Almost surely, 212424132404 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 12424132404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392069120).

12424132404 is an abundant number, since it is smaller than the sum of its proper divisors (20360005836).

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

12424132404 is a wasteful number, since it uses less digits than its factorization.

12424132404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12424132404 its reverse (40423142421), we get a palindrome (52847274825).

The spelling of 12424132404 in words is "twelve billion, four hundred twenty-four million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 383 402 603 766 804 1149 1206 1532 1809 2298 2412 3447 3618 4483 4596 6894 7236 8966 10341 13449 13788 17932 20682 25661 26898 40347 41364 51322 53796 76983 80694 102644 121041 153966 161388 230949 242082 300361 307932 461898 484164 600722 692847 901083 923796 1201444 1385694 1716989 1802166 2703249 2771388 3433978 3604332 5150967 5406498 6867956 8109747 10301934 10812996 15452901 16219494 20603868 30905802 32438988 46358703 61811604 92717406 115038263 185434812 230076526 345114789 460153052 690229578 1035344367 1380459156 2070688734 3106033101 4141377468 6212066202 12424132404