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23532030342 = 232231032392309
BaseRepresentation
bin10101111010100111…
…100100100110000110
32020201222200000000100
4111322213210212012
5341143144432332
614451021024530
71462100646312
oct257247444606
966658600010
1023532030342
119a86243767
1246889b5146
1322b037a412
1411d3420b42
1592ada367c
hex57a9e4986

23532030342 has 96 divisors (see below), whose sum is σ = 53967513600. Its totient is φ = 7395829056.

The previous prime is 23532030341. The next prime is 23532030373. The reversal of 23532030342 is 24303023532.

23532030342 is a `hidden beast` number, since 2 + 35 + 320 + 303 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23532030341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10190284 + ... + 10192592.

It is an arithmetic number, because the mean of its divisors is an integer number (562161600).

Almost surely, 223532030342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23532030342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26983756800).

23532030342 is an abundant number, since it is smaller than the sum of its proper divisors (30435483258).

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

23532030342 is a wasteful number, since it uses less digits than its factorization.

23532030342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 23532030342 its reverse (24303023532), we get a palindrome (47835053874).

The spelling of 23532030342 in words is "twenty-three billion, five hundred thirty-two million, thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 103 138 206 207 239 309 414 478 618 717 927 1434 1854 2151 2309 2369 4302 4618 4738 5497 6927 7107 10994 13854 14214 16491 20781 21321 24617 32982 41562 42642 49234 49473 53107 73851 98946 106214 147702 159321 221553 237827 318642 443106 475654 477963 551851 566191 713481 955926 1103702 1132382 1426962 1655553 1698573 2140443 3311106 3397146 4280886 4966659 5095719 5470021 9933318 10191438 10940042 12692573 16410063 25385146 32820126 38077719 49230189 56840653 76155438 98460378 113681306 114233157 170521959 228466314 341043918 511565877 1023131754 1307335019 2614670038 3922005057 7844010114 11766015171 23532030342