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23433233432 = 2371759795281
BaseRepresentation
bin10101110100101110…
…101100010000011000
32020111002202121010112
4111310232230100120
5340442401432212
614433131303452
71456461124550
oct256456542030
966432677115
1023433233432
119a354a4124
12465b8aab88
132295a683cb
1411c4264160
1592238a422
hex574bac418

23433233432 has 128 divisors (see below), whose sum is σ = 54763776000. Its totient is φ = 9172500480.

The previous prime is 23433233429. The next prime is 23433233477.

23433233432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4434632 + ... + 4439912.

It is an arithmetic number, because the mean of its divisors is an integer number (427842000).

Almost surely, 223433233432 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 23433233432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27381888000).

23433233432 is an abundant number, since it is smaller than the sum of its proper divisors (31330542568).

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

23433233432 is a wasteful number, since it uses less digits than its factorization.

23433233432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5445 counting only the distinct ones).

The product of its digits is 93312, while the sum is 32.

The spelling of 23433233432 in words is "twenty-three billion, four hundred thirty-three million, two hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 59 68 79 118 119 136 158 236 238 316 413 472 476 553 632 826 952 1003 1106 1343 1652 2006 2212 2686 3304 4012 4424 4661 5281 5372 7021 8024 9322 9401 10562 10744 14042 18644 18802 21124 28084 32627 36967 37288 37604 42248 56168 65254 73934 75208 79237 89777 130508 147868 158474 179554 261016 295736 311579 316948 359108 417199 554659 623158 628439 633896 718216 834398 1109318 1246316 1256878 1668796 2181053 2218636 2492632 2513756 2920393 3337592 4362106 4437272 5027512 5296843 5840786 7092383 8724212 10593686 11681572 14184766 17448424 21187372 23363144 24614741 28369532 37077901 42374744 49229482 49646681 56739064 74155802 98458964 99293362 148311604 172303187 196917928 198586724 296623208 344606374 397173448 418450597 689212748 836901194 1378425496 1673802388 2929154179 3347604776 5858308358 11716616716 23433233432