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25072228416 = 2635913915923
BaseRepresentation
bin10111010110011010…
…111101100001000000
32101201022211011120110
4113112122331201000
5402321442302131
615303520511320
71545212265564
oct272632754100
971638734513
1025072228416
11a6a668a334
124a3877b540
1324974a5421
1412dbbc96a4
159bb1dd646
hex5d66bd840

25072228416 has 112 divisors (see below), whose sum is σ = 67950892800. Its totient is φ = 8156140032.

The previous prime is 25072228409. The next prime is 25072228417. The reversal of 25072228416 is 61482227052.

It is not an unprimeable number, because it can be changed into a prime (25072228417) 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 15 ways as a sum of consecutive naturals, for example, 1566631 + ... + 1582553.

It is an arithmetic number, because the mean of its divisors is an integer number (606704400).

Almost surely, 225072228416 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 25072228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33975446400).

25072228416 is an abundant number, since it is smaller than the sum of its proper divisors (42878664384).

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

25072228416 is a wasteful number, since it uses less digits than its factorization.

25072228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16136 (or 16126 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 25072228416 in words is "twenty-five billion, seventy-two million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 139 177 192 236 278 354 417 472 556 708 834 944 1112 1416 1668 1888 2224 2832 3336 3776 4448 5664 6672 8201 8896 11328 13344 15923 16402 24603 26688 31846 32804 47769 49206 63692 65608 95538 98412 127384 131216 191076 196824 254768 262432 382152 393648 509536 524864 764304 787296 939457 1019072 1528608 1574592 1878914 2213297 2818371 3057216 3757828 4426594 5636742 6639891 7515656 8853188 11273484 13279782 15031312 17706376 22546968 26559564 30062624 35412752 45093936 53119128 60125248 70825504 90187872 106238256 130584523 141651008 180375744 212476512 261169046 391753569 424953024 522338092 783507138 1044676184 1567014276 2089352368 3134028552 4178704736 6268057104 8357409472 12536114208 25072228416