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12433234104 = 23331713125847
BaseRepresentation
bin10111001010001010…
…00001100010111000
31012002111022201211000
423211011001202320
5200430401442404
65413423205000
7620051513634
oct134505014270
935074281730
1012433234104
115300266895
1224aba46760
131231b41175
1485d393dc4
154cb7eb339
hex2e51418b8

12433234104 has 128 divisors (see below), whose sum is σ = 36848908800. Its totient is φ = 3870696960.

The previous prime is 12433234067. The next prime is 12433234111. The reversal of 12433234104 is 40143233421.

12433234104 is a `hidden beast` number, since 1 + 243 + 3 + 2 + 3 + 410 + 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468109 + ... + 493955.

It is an arithmetic number, because the mean of its divisors is an integer number (287882100).

Almost surely, 212433234104 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 12433234104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18424454400).

12433234104 is an abundant number, since it is smaller than the sum of its proper divisors (24415674696).

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

12433234104 is a wasteful number, since it uses less digits than its factorization.

12433234104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26010 (or 26000 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12433234104 its reverse (40143233421), we get a palindrome (52576467525).

The spelling of 12433234104 in words is "twelve billion, four hundred thirty-three million, two hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 131 136 153 204 216 262 306 393 408 459 524 612 786 918 1048 1179 1224 1572 1836 2227 2358 3144 3537 3672 4454 4716 6681 7074 8908 9432 13362 14148 17816 20043 25847 26724 28296 40086 51694 53448 60129 77541 80172 103388 120258 155082 160344 206776 232623 240516 310164 439399 465246 481032 620328 697869 878798 930492 1318197 1395738 1757596 1860984 2636394 2791476 3385957 3515192 3954591 5272788 5582952 6771914 7909182 10157871 10545576 11863773 13543828 15818364 20315742 23727546 27087656 30473613 31636728 40631484 47455092 57561269 60947226 81262968 91420839 94910184 115122538 121894452 172683807 182841678 230245076 243788904 345367614 365683356 460490152 518051421 690735228 731366712 1036102842 1381470456 1554154263 2072205684 3108308526 4144411368 6216617052 12433234104