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20249410608 = 24327144713883
BaseRepresentation
bin10010110110111101…
…010111110000110000
31221021012211122021200
4102312331113300300
5312432322114413
613145155051200
71314541102350
oct226675276060
957235748250
1020249410608
11865129a999
123b115a0b00
131ba9271c8b
14da148ab60
157d7ad5573
hex4b6f57c30

20249410608 has 120 divisors (see below), whose sum is σ = 64815399168. Its totient is φ = 5781131136.

The previous prime is 20249410589. The next prime is 20249410609. The reversal of 20249410608 is 80601494202.

20249410608 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 9 + 41 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20249410609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451635 + ... + 1465517.

Almost surely, 220249410608 is an apocalyptic number.

20249410608 is a gapful number since it is divisible by the number (28) 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 20249410608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32407699584).

20249410608 is an abundant number, since it is smaller than the sum of its proper divisors (44565988560).

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

20249410608 is a wasteful number, since it uses less digits than its factorization.

20249410608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351 (or 15342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20249410608 in words is "twenty billion, two hundred forty-nine million, four hundred ten thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1447 2894 4341 5788 8682 10129 11576 13023 13883 17364 20258 23152 26046 27766 30387 34728 40516 41649 52092 55532 60774 69456 81032 83298 91161 97181 104184 111064 121548 124947 162064 166596 182322 194362 208368 222128 243096 249894 291543 333192 364644 388724 486192 499788 583086 666384 729288 777448 874629 999576 1166172 1458576 1554896 1749258 1999152 2332344 3498516 4664688 6997032 13994064 20088701 40177402 60266103 80354804 120532206 140620907 160709608 180798309 241064412 281241814 321419216 361596618 421862721 482128824 562483628 723193236 843725442 964257648 1124967256 1265588163 1446386472 1687450884 2249934512 2531176326 2892772944 3374901768 5062352652 6749803536 10124705304 20249410608