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23906330442 = 2341923371213
BaseRepresentation
bin10110010000111011…
…011010011101001010
32021201001222102020000
4112100323122131022
5342430010033232
614552111343430
71504264312251
oct262073323512
967631872200
1023906330442
11a158555995
124772221b76
13233ca91077
14122b015798
1594db8c27c
hex590eda74a

23906330442 has 120 divisors (see below), whose sum is σ = 56750146596. Its totient is φ = 7520760576.

The previous prime is 23906330417. The next prime is 23906330489. The reversal of 23906330442 is 24403360932.

It can be written as a sum of positive squares in 2 ways, for example, as 20095614081 + 3810716361 = 141759^2 + 61731^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23906330397 and 23906330406.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19707828 + ... + 19709040.

Almost surely, 223906330442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23906330442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28375073298).

23906330442 is an abundant number, since it is smaller than the sum of its proper divisors (32843816154).

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

23906330442 is a wasteful number, since it uses less digits than its factorization.

23906330442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 23906330442 in words is "twenty-three billion, nine hundred six million, three hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 337 342 361 513 674 722 1011 1026 1083 1213 1539 2022 2166 2426 3033 3078 3249 3639 6066 6403 6498 7278 9099 9747 10917 12806 18198 19209 19494 21834 23047 27297 29241 32751 38418 46094 54594 57627 58482 65502 69141 98253 115254 121657 138282 172881 196506 207423 243314 345762 364971 408781 414846 437893 518643 622269 729942 817562 875786 1037286 1094913 1226343 1244538 1313679 1866807 2189826 2452686 2627358 3284739 3679029 3733614 3941037 6569478 7358058 7766839 7882074 9854217 11037087 11823111 15533678 19708434 22074174 23300517 23646222 33111261 35469333 46601034 66222522 69901551 70938666 139803102 147569941 209704653 295139882 419409306 442709823 629113959 885419646 1258227918 1328129469 2656258938 3984388407 7968776814 11953165221 23906330442