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20491685676 = 223271113753959
BaseRepresentation
bin10011000101011001…
…100100111100101100
31221220002201111012100
4103011121210330230
5313431332420201
613225211535100
71323542311560
oct230531447454
957802644170
1020491685676
118766027820
123b7a75a490
131c1750b4c7
14dc57156a0
157edee0886
hex4c5664f2c

20491685676 has 144 divisors (see below), whose sum is σ = 65052449280. Its totient is φ = 5283567360.

The previous prime is 20491685659. The next prime is 20491685681. The reversal of 20491685676 is 67658619402.

20491685676 is a `hidden beast` number, since 2 + 0 + 491 + 6 + 85 + 6 + 76 = 666.

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 47 ways as a sum of consecutive naturals, for example, 352785 + ... + 406743.

It is an arithmetic number, because the mean of its divisors is an integer number (451753120).

Almost surely, 220491685676 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 20491685676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32526224640).

20491685676 is an abundant number, since it is smaller than the sum of its proper divisors (44560763604).

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

20491685676 is a wasteful number, since it uses less digits than its factorization.

20491685676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54124 (or 54119 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20491685676 in words is "twenty billion, four hundred ninety-one million, six hundred eighty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 137 154 198 231 252 274 308 396 411 462 548 693 822 924 959 1233 1386 1507 1644 1918 2466 2772 2877 3014 3836 4521 4932 5754 6028 8631 9042 10549 11508 13563 17262 18084 21098 27126 31647 34524 42196 53959 54252 63294 94941 107918 126588 161877 189882 215836 323754 377713 379764 485631 593549 647508 755426 971262 1133139 1187098 1510852 1780647 1942524 2266278 2374196 3399417 3561294 4154843 4532556 5341941 6798834 7122588 7392383 8309686 10683882 12464529 13597668 14784766 16619372 21367764 22177149 24929058 29569532 37393587 44354298 49858116 51746681 66531447 74787174 81316213 88708596 103493362 133062894 149574348 155240043 162632426 206986724 243948639 266125788 310480086 325264852 465720129 487897278 569213491 620960172 731845917 931440258 975794556 1138426982 1463691834 1707640473 1862880516 2276853964 2927383668 3415280946 5122921419 6830561892 10245842838 20491685676