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23452425432 = 2332371012863
BaseRepresentation
bin10101110101110111…
…111001110011011000
32020112102212122121100
4111311313321303120
5341012310103212
614435054511400
71460113220112
oct256567716330
966472778540
1023452425432
119a45312387
124666205560
132299a27b17
1411c6a1c3b2
15923dcbbdc
hex575df9cd8

23452425432 has 144 divisors (see below), whose sum is σ = 65962278720. Its totient is φ = 7522156800.

The previous prime is 23452425389. The next prime is 23452425461.

23452425432 is a `hidden beast` number, since 23 + 4 + 52 + 42 + 543 + 2 = 666.

23452425432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27175033 + ... + 27175895.

It is an arithmetic number, because the mean of its divisors is an integer number (458071380).

Almost surely, 223452425432 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 23452425432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32981139360).

23452425432 is an abundant number, since it is smaller than the sum of its proper divisors (42509853288).

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

23452425432 is a wasteful number, since it uses less digits than its factorization.

23452425432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1006 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The spelling of 23452425432 in words is "twenty-three billion, four hundred fifty-two million, four hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 101 111 148 202 222 296 303 333 404 444 606 666 808 863 888 909 1212 1332 1726 1818 2424 2589 2664 3452 3636 3737 5178 6904 7272 7474 7767 10201 10356 11211 14948 15534 20402 20712 22422 29896 30603 31068 31931 33633 40804 44844 61206 62136 63862 67266 81608 87163 89688 91809 95793 122412 127724 134532 174326 183618 191586 244824 255448 261489 269064 287379 348652 367236 377437 383172 522978 574758 697304 734472 754874 766344 784467 1045956 1132311 1149516 1509748 1568934 2091912 2264622 2299032 3019496 3137868 3225031 3396933 4529244 6275736 6450062 6793866 8803463 9058488 9675093 12900124 13587732 17606926 19350186 25800248 26410389 27175464 29025279 35213852 38700372 52820778 58050558 70427704 77400744 79231167 105641556 116101116 158462334 211283112 232202232 316924668 325728131 633849336 651456262 977184393 1302912524 1954368786 2605825048 2931553179 3908737572 5863106358 7817475144 11726212716 23452425432