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23041132432 = 2429713312113
BaseRepresentation
bin10101011101010110…
…111100011110010000
32012110202221210200021
4111131112330132100
5334142012214212
614330203233224
71443660252133
oct253526743620
965422853607
1023041132432
11985413390a
124570518814
132232761296
14118815821a
158ecc37307
hex55d5bc790

23041132432 has 80 divisors (see below), whose sum is σ = 46995742080. Its totient is φ = 10928332800.

The previous prime is 23041132369. The next prime is 23041132453. The reversal of 23041132432 is 23423114032.

It is a junction number, because it is equal to n+sod(n) for n = 23041132397 and 23041132406.

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 15 ways as a sum of consecutive naturals, for example, 10903408 + ... + 10905520.

It is an arithmetic number, because the mean of its divisors is an integer number (587446776).

Almost surely, 223041132432 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 23041132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497871040).

23041132432 is an abundant number, since it is smaller than the sum of its proper divisors (23954609648).

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

23041132432 is a wasteful number, since it uses less digits than its factorization.

23041132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 23041132432 its reverse (23423114032), we get a palindrome (46464246464).

The spelling of 23041132432 in words is "twenty-three billion, forty-one million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 71 116 142 232 284 331 464 568 662 1136 1324 2059 2113 2648 4118 4226 5296 8236 8452 9599 16472 16904 19198 23501 32944 33808 38396 47002 61277 76792 94004 122554 150023 153584 188008 245108 300046 376016 490216 600092 681529 699403 980432 1200184 1363058 1398806 2400368 2726116 2797612 4350667 5452232 5595224 8701334 10904464 11190448 17402668 20282687 34805336 40565374 49657613 69610672 81130748 99315226 162261496 198630452 324522992 397260904 794521808 1440070777 2880141554 5760283108 11520566216 23041132432