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20006726076 = 2232619793923
BaseRepresentation
bin10010101000011111…
…100110100110111100
31220122022011222200200
4102220133212212330
5311433210213301
613105125323500
71305533236311
oct225037464674
956568158620
1020006726076
118537303467
123a64266590
131b6abc126c
14d7b156d08
157c1648c86
hex4a87e69bc

20006726076 has 72 divisors (see below), whose sum is σ = 51932082384. Its totient is φ = 6491888640.

The previous prime is 20006726071. The next prime is 20006726141. The reversal of 20006726076 is 67062760002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20006726076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20006726071) 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, 166051 + ... + 259973.

It is an arithmetic number, because the mean of its divisors is an integer number (721278922).

Almost surely, 220006726076 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 20006726076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966041192).

20006726076 is an abundant number, since it is smaller than the sum of its proper divisors (31925356308).

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

20006726076 is a wasteful number, since it uses less digits than its factorization.

20006726076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94091 (or 94086 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 20006726076 in words is "twenty billion, six million, seven hundred twenty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 97 122 183 194 244 291 366 388 549 582 732 873 1098 1164 1746 2196 3492 5917 11834 17751 23668 35502 53253 71004 93923 106506 187846 213012 281769 375692 563538 845307 1127076 1690614 3381228 5729303 9110531 11458606 17187909 18221062 22917212 27331593 34375818 36442124 51563727 54663186 68751636 81994779 103127454 109326372 163989558 206254908 327979116 555742391 1111484782 1667227173 2222969564 3334454346 5001681519 6668908692 10003363038 20006726076