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20066358676 = 22721354114557
BaseRepresentation
bin10010101100000011…
…000101010110010100
31220210110101122020111
4102230003011112110
5312043441434201
613115055412404
71310156143300
oct225403052624
956713348214
1020066358676
118567a33301
123a80224104
131b7a36cc20
14d8503ad00
157c69c7b51
hex4ac0c5594

20066358676 has 72 divisors (see below), whose sum is σ = 44075975496. Its totient is φ = 7923121920.

The previous prime is 20066358661. The next prime is 20066358677. The reversal of 20066358676 is 67685366002.

It can be written as a sum of positive squares in 4 ways, for example, as 32787076 + 20033571600 = 5726^2 + 141540^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20066358677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371190 + ... + 1385746.

Almost surely, 220066358676 is an apocalyptic number.

20066358676 is a gapful number since it is divisible by the number (26) 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 20066358676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037987748).

20066358676 is an abundant number, since it is smaller than the sum of its proper divisors (24009616820).

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

20066358676 is a wasteful number, since it uses less digits than its factorization.

20066358676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15129 (or 15120 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 20066358676 in words is "twenty billion, sixty-six million, three hundred fifty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 541 637 1082 1274 2164 2548 3787 7033 7574 14066 14557 15148 26509 28132 29114 49231 53018 58228 98462 101899 106036 189241 196924 203798 344617 378482 407596 689234 713293 756964 1324687 1378468 1426586 2649374 2853172 5298748 7875337 9272809 15750674 18545618 31501348 37091236 55127359 102379381 110254718 204758762 220509436 385891513 409517524 716655667 771783026 1433311334 1543566052 2866622668 5016589669 10033179338 20066358676