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23421522512432 = 24113115532764199
BaseRepresentation
bin1010101001101001111111…
…00001111000101000110000
310001221002001011201001202202
411110310333201320220300
511032214234230344212
6121451410544002332
74635102106353452
oct524647741705060
9101832034631682
1023421522512432
117510014951270
1227632b86003a8
13100b8423a1a15
145ad8718c22d2
152a93aa7340c2
hex154d3f878a30

23421522512432 has 80 divisors (see below), whose sum is σ = 51134427187200. Its totient is φ = 10296084710400.

The previous prime is 23421522512431. The next prime is 23421522512441.

23421522512432 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×234215225124323 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23421522512431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7091069 + ... + 9855267.

It is an arithmetic number, because the mean of its divisors is an integer number (639180339840).

Almost surely, 223421522512432 is an apocalyptic number.

23421522512432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23421522512432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25567213593600).

23421522512432 is an abundant number, since it is smaller than the sum of its proper divisors (27712904674768).

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

23421522512432 is a wasteful number, since it uses less digits than its factorization.

23421522512432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765802 (or 2765796 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 2342152 and 2512432, that added together give a palindrome (4854584).

The spelling of 23421522512432 in words is "twenty-three trillion, four hundred twenty-one billion, five hundred twenty-two million, five hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 1553 2728 3106 5456 6212 12424 17083 24848 34166 48143 68332 96286 136664 192572 273328 385144 529573 770288 1059146 2118292 2764199 4236584 5528398 8473168 11056796 22113592 30406189 44227184 60812378 85690169 121624756 171380338 243249512 342760676 486499024 685521352 942591859 1371042704 1885183718 3770367436 4292801047 7540734872 8585602094 15081469744 17171204188 34342408376 47220811517 68684816752 94441623034 133076832457 188883246068 266153664914 377766492136 532307329828 755532984272 1064614659656 1463845157027 2129229319312 2927690314054 5855380628108 11710761256216 23421522512432