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20416531640 = 235612229599
BaseRepresentation
bin10011000000111010…
…111000110010111000
31221200212022021020112
4103000322320302320
5313303113003030
613213525043452
71321640440601
oct230072706270
957625267215
1020416531640
11872766644a
123b59556588
131c04a86a6b
14db9750da8
157e75e7a95
hex4c0eb8cb8

20416531640 has 96 divisors (see below), whose sum is σ = 46984860000. Its totient is φ = 7984304640.

The previous prime is 20416531637. The next prime is 20416531703. The reversal of 20416531640 is 4613561402.

It is a junction number, because it is equal to n+sod(n) for n = 20416531597 and 20416531606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34084061 + ... + 34084659.

It is an arithmetic number, because the mean of its divisors is an integer number (489425625).

Almost surely, 220416531640 is an apocalyptic number.

20416531640 is a gapful number since it is divisible by the number (20) 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 20416531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492430000).

20416531640 is an abundant number, since it is smaller than the sum of its proper divisors (26568328360).

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

20416531640 is a wasteful number, since it uses less digits than its factorization.

20416531640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 20416531640 in words is "twenty billion, four hundred sixteen million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 229 244 305 458 488 599 610 916 1145 1198 1220 1832 2290 2396 2440 2995 3721 4580 4792 5990 7442 9160 11980 13969 14884 18605 23960 27938 29768 36539 37210 55876 69845 73078 74420 111752 137171 139690 146156 148840 182695 274342 279380 292312 365390 548684 558760 685855 730780 852109 1097368 1371710 1461560 1704218 2228879 2743420 3408436 4260545 4457758 5486840 6816872 8367431 8521090 8915516 11144395 16734862 17042180 17831032 22288790 33469724 34084360 41837155 44577580 66939448 83674310 89155160 167348620 334697240 510413291 1020826582 2041653164 2552066455 4083306328 5104132910 10208265820 20416531640