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20169272784 = 243737397789
BaseRepresentation
bin10010110010001011…
…101010110111010000
31221001122001012212010
4102302023222313100
5312301313212114
613133213302520
71312545663363
oct226213526720
957048035763
1020169272784
118610035191
123aaa794a40
131b95793c4b
14d9498a0da
157d0a55c59
hex4b22eadd0

20169272784 has 80 divisors (see below), whose sum is σ = 52895969600. Its totient is φ = 6621170688.

The previous prime is 20169272741. The next prime is 20169272867. The reversal of 20169272784 is 48727296102.

It is a super-2 number, since 2×201692727842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 2585562 + ... + 2593350.

It is an arithmetic number, because the mean of its divisors is an integer number (661199620).

Almost surely, 220169272784 is an apocalyptic number.

20169272784 is a gapful number since it is divisible by the number (24) 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 20169272784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447984800).

20169272784 is an abundant number, since it is smaller than the sum of its proper divisors (32726696816).

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

20169272784 is a wasteful number, since it uses less digits than its factorization.

20169272784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 20169272784 in words is "twenty billion, one hundred sixty-nine million, two hundred seventy-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 739 876 1168 1478 1752 2217 2956 3504 4434 5912 7789 8868 11824 15578 17736 23367 31156 35472 46734 53947 62312 93468 107894 124624 161841 186936 215788 323682 373872 431576 568597 647364 863152 1137194 1294728 1705791 2274388 2589456 3411582 4548776 5756071 6823164 9097552 11512142 13646328 17268213 23024284 27292656 34536426 46048568 69072852 92097136 138145704 276291408 420193183 840386366 1260579549 1680772732 2521159098 3361545464 5042318196 6723090928 10084636392 20169272784