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20007851742 = 23310133111083
BaseRepresentation
bin10010101000100011…
…111001011011011110
31220122101022011211000
4102220203321123132
5311434002223432
613105205411130
71305545635164
oct225043713336
956571264730
1020007851742
118537a0216a
123a64709aa6
131b6b1c6738
14d7b36b234
157c17bc57c
hex4a88f96de

20007851742 has 64 divisors (see below), whose sum is σ = 45041829120. Its totient is φ = 6582708000.

The previous prime is 20007851723. The next prime is 20007851749. The reversal of 20007851742 is 24715870002.

It is a junction number, because it is equal to n+sod(n) for n = 20007851697 and 20007851706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20007851749) 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 31 ways as a sum of consecutive naturals, for example, 1799733 + ... + 1810815.

It is an arithmetic number, because the mean of its divisors is an integer number (703778580).

Almost surely, 220007851742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20007851742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22520914560).

20007851742 is an abundant number, since it is smaller than the sum of its proper divisors (25033977378).

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

20007851742 is a wasteful number, since it uses less digits than its factorization.

20007851742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526 (or 11520 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 20007851742 in words is "twenty billion, seven million, eight hundred fifty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 331 606 662 909 993 1818 1986 2727 2979 5454 5958 8937 11083 17874 22166 33249 33431 66498 66862 99747 100293 199494 200586 299241 300879 598482 601758 902637 1119383 1805274 2238766 3358149 3668473 6716298 7336946 10074447 11005419 20148894 22010838 30223341 33016257 60446682 66032514 99048771 198097542 370515773 741031546 1111547319 2223094638 3334641957 6669283914 10003925871 20007851742