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25523242000 = 245389223643
BaseRepresentation
bin10111110001010011…
…011100010000010000
32102212202111000220021
4113301103130100100
5404232422221000
615420351353224
71562326656154
oct276123342020
972782430807
1025523242000
11a908228533
124b43822814
132539a68579
141341a6d064
159e5acc11a
hex5f14dc410

25523242000 has 160 divisors (see below), whose sum is σ = 62785981440. Its totient is φ = 10033689600.

The previous prime is 25523241871. The next prime is 25523242021. The reversal of 25523242000 is 24232552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 39693679 + ... + 39694321.

It is an arithmetic number, because the mean of its divisors is an integer number (392412384).

Almost surely, 225523242000 is an apocalyptic number.

25523242000 is a gapful number since it is divisible by the number (20) 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 25523242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31392990720).

25523242000 is an abundant number, since it is smaller than the sum of its proper divisors (37262739440).

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

25523242000 is a wasteful number, since it uses less digits than its factorization.

25523242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 25523242000 its reverse (24232552), we get a palindrome (25547474552).

The spelling of 25523242000 in words is "twenty-five billion, five hundred twenty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 223 250 356 400 445 446 500 643 712 890 892 1000 1115 1286 1424 1780 1784 2000 2225 2230 2572 3215 3560 3568 4450 4460 5144 5575 6430 7120 8900 8920 10288 11125 11150 12860 16075 17800 17840 19847 22250 22300 25720 27875 32150 35600 39694 44500 44600 51440 55750 57227 64300 79388 80375 89000 89200 99235 111500 114454 128600 143389 158776 160750 178000 198470 223000 228908 257200 286135 286778 317552 321500 396940 446000 457816 496175 572270 573556 643000 716945 793880 915632 992350 1144540 1147112 1286000 1430675 1433890 1587760 1984700 2289080 2294224 2480875 2861350 2867780 3584725 3969400 4578160 4961750 5722700 5735560 7153375 7169450 7938800 9923500 11445400 11471120 12761621 14306750 14338900 17923625 19847000 22890800 25523242 28613500 28677800 35847250 39694000 51046484 57227000 57355600 63808105 71694500 102092968 114454000 127616210 143389000 204185936 255232420 286778000 319040525 510464840 638081050 1020929680 1276162100 1595202625 2552324200 3190405250 5104648400 6380810500 12761621000 25523242000