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25234443252 = 22325928341981
BaseRepresentation
bin10111100000000101…
…110000101111110100
32102010122001112111100
4113200011300233310
5403140004141002
615331553410100
71552222141254
oct274005605764
972118045440
1025234443252
11a77a204787
124a82b69930
1324c1c90035
141315573964
159ca58211c
hex5e0170bf4

25234443252 has 72 divisors (see below), whose sum is σ = 65098968480. Its totient is φ = 8239498560.

The previous prime is 25234443239. The next prime is 25234443253.

25234443252 is a `hidden beast` number, since 2 + 523 + 44 + 43 + 2 + 52 = 666.

25234443252 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 not an unprimeable number, because it can be changed into a prime (25234443253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580102 + ... + 622082.

It is an arithmetic number, because the mean of its divisors is an integer number (904152340).

Almost surely, 225234443252 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 25234443252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32549484240).

25234443252 is an abundant number, since it is smaller than the sum of its proper divisors (39864525228).

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

25234443252 is a wasteful number, since it uses less digits than its factorization.

25234443252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42333 (or 42328 counting only the distinct ones).

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

The spelling of 25234443252 in words is "twenty-five billion, two hundred thirty-four million, four hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 283 354 531 566 708 849 1062 1132 1698 2124 2547 3396 5094 10188 16697 33394 41981 50091 66788 83962 100182 125943 150273 167924 200364 251886 300546 377829 503772 601092 755658 1511316 2476879 4953758 7430637 9907516 11880623 14861274 22291911 23761246 29722548 35641869 44583822 47522492 71283738 89167644 106925607 142567476 213851214 427702428 700956757 1401913514 2102870271 2803827028 4205740542 6308610813 8411481084 12617221626 25234443252