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9925886816 = 256116730449
BaseRepresentation
bin10010011111010000…
…10000001101100000
3221121202022021221122
421033220100031200
5130312011334231
64320534111412
7500654434346
oct111750201540
927552267848
109925886816
1142339a474a
121b101ab568
13c2253b711
146a238d996
153d161d77b
hex24fa10360

9925886816 has 48 divisors (see below), whose sum is σ = 19981533600. Its totient is φ = 4852193280.

The previous prime is 9925886809. The next prime is 9925886819. The reversal of 9925886816 is 6186885299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925886819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310760 + ... + 341208.

It is an arithmetic number, because the mean of its divisors is an integer number (416281950).

Almost surely, 29925886816 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 9925886816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9990766800).

9925886816 is an abundant number, since it is smaller than the sum of its proper divisors (10055646784).

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

9925886816 is a wasteful number, since it uses less digits than its factorization.

9925886816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30687 (or 30679 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 62.

The square root of 9925886816 is about 99628.7449283589. The cubic root of 9925886816 is about 2149.0990864698.

The spelling of 9925886816 in words is "nine billion, nine hundred twenty-five million, eight hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 61 122 167 244 334 488 668 976 1336 1952 2672 5344 10187 20374 30449 40748 60898 81496 121796 162992 243592 325984 487184 974368 1857389 3714778 5084983 7429556 10169966 14859112 20339932 29718224 40679864 59436448 81359728 162719456 310183963 620367926 1240735852 2481471704 4962943408 9925886816