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23528409552 = 243461297617
BaseRepresentation
bin10101111010011001…
…110000100111010000
32020201201212001020000
4111322121300213100
5341141233101202
614450411250000
71462025116134
oct257231604720
966651761200
1023528409552
119a841a037a
124687749900
1322ac6b033b
1411d2b5b3c4
1592a8da91c
hex57a6709d0

23528409552 has 100 divisors (see below), whose sum is σ = 69214637316. Its totient is φ = 7714206720.

The previous prime is 23528409539. The next prime is 23528409559. The reversal of 23528409552 is 25590482532.

23528409552 is a `hidden beast` number, since 2 + 3 + 52 + 8 + 40 + 9 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12127295376 + 11401114176 = 110124^2 + 106776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23528409498 and 23528409507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23528409559) 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 19 ways as a sum of consecutive naturals, for example, 69753 + ... + 227864.

Almost surely, 223528409552 is an apocalyptic number.

It is an amenable number.

23528409552 is an abundant number, since it is smaller than the sum of its proper divisors (45686227764).

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

23528409552 is a wasteful number, since it uses less digits than its factorization.

23528409552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297698 (or 297683 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 23528409552 in words is "twenty-three billion, five hundred twenty-eight million, four hundred nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1296 1464 1647 2196 2928 3294 4392 4941 6588 8784 9882 13176 19764 26352 39528 79056 297617 595234 892851 1190468 1785702 2380936 2678553 3571404 4761872 5357106 7142808 8035659 10714212 14285616 16071318 18154637 21428424 24106977 32142636 36309274 42856848 48213954 54463911 64285272 72618548 96427908 108927822 128570544 145237096 163391733 192855816 217855644 290474192 326783466 385711632 435711288 490175199 653566932 871422576 980350398 1307133864 1470525597 1960700796 2614267728 2941051194 3921401592 5882102388 7842803184 11764204776 23528409552