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12433342010432 = 26730790400637
BaseRepresentation
bin1011010011101101110011…
…1011110001010001000000
31122000121121222112002121112
42310323130323301101000
53112201441023313212
642235444245142452
72422164543225020
oct264733473612100
948017558462545
1012433342010432
113a63a50479122
1214897b90baa28
136c25c78c3c85
1430dac3dbda80
15168646a43422
hexb4edcef1440

12433342010432 has 56 divisors (see below), whose sum is σ = 28288890848064. Its totient is φ = 5311218166272.

The previous prime is 12433342010423. The next prime is 12433342010447. The reversal of 12433342010432 is 23401024333421.

12433342010432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45062783 + ... + 45337854.

It is an arithmetic number, because the mean of its divisors is an integer number (505158765144).

Almost surely, 212433342010432 is an apocalyptic number.

It is an amenable number.

12433342010432 is an abundant number, since it is smaller than the sum of its proper divisors (15855548837632).

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

12433342010432 is an equidigital number, since it uses as much as digits as its factorization.

12433342010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90400963 (or 90400953 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12433342010432 its reverse (23401024333421), we get a palindrome (35834366343853).

The spelling of 12433342010432 in words is "twelve trillion, four hundred thirty-three billion, three hundred forty-two million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 307 448 614 1228 2149 2456 4298 4912 8596 9824 17192 19648 34384 68768 137536 90400637 180801274 361602548 632804459 723205096 1265608918 1446410192 2531217836 2892820384 5062435672 5785640768 10124871344 20249742688 27752995559 40499485376 55505991118 111011982236 194270968913 222023964472 388541937826 444047928944 777083875652 888095857888 1554167751304 1776191715776 3108335502608 6216671005216 12433342010432