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21232413432 = 233217113153511
BaseRepresentation
bin10011110001100011…
…001110101011111000
32000210201112100122200
4103301203032223320
5321440444212212
613430512150200
71351105351656
oct236143165370
960721470580
1021232413432
11900616451a
124146838360
132004b0a759
141055c51dd6
1584405a6dc
hex4f18ceaf8

21232413432 has 96 divisors (see below), whose sum is σ = 61426291680. Its totient is φ = 6602158080.

The previous prime is 21232413413. The next prime is 21232413443. The reversal of 21232413432 is 23431423212.

21232413432 is a `hidden beast` number, since 212 + 3 + 2 + 4 + 13 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21232413396 and 21232413405.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61557 + ... + 215067.

It is an arithmetic number, because the mean of its divisors is an integer number (639857205).

Almost surely, 221232413432 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 21232413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30713145840).

21232413432 is an abundant number, since it is smaller than the sum of its proper divisors (40193878248).

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

21232413432 is a wasteful number, since it uses less digits than its factorization.

21232413432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153653 (or 153646 counting only the distinct ones).

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

Adding to 21232413432 its reverse (23431423212), we get a palindrome (44663836644).

The spelling of 21232413432 in words is "twenty-one billion, two hundred thirty-two million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 113 136 153 204 226 306 339 408 452 612 678 904 1017 1224 1356 1921 2034 2712 3842 4068 5763 7684 8136 11526 15368 17289 23052 34578 46104 69156 138312 153511 307022 460533 614044 921066 1228088 1381599 1842132 2609687 2763198 3684264 5219374 5526396 7829061 10438748 11052792 15658122 17346743 20877496 23487183 31316244 34693486 46974366 52040229 62632488 69386972 93948732 104080458 138773944 156120687 187897464 208160916 294894631 312241374 416321832 589789262 624482748 884683893 1179578524 1248965496 1769367786 2359157048 2654051679 3538735572 5308103358 7077471144 10616206716 21232413432