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20218375086 = 23713233158927
BaseRepresentation
bin10010110101000110…
…111110101110101110
31221012001102212112220
4102311012332232232
5312401401000321
613142125540210
71314013231650
oct226506765656
957161385486
1020218375086
1186358224a8
123b03114666
131ba29c6870
14d9b2cc6d0
157d50049c6
hex4b51bebae

20218375086 has 64 divisors (see below), whose sum is σ = 49982220288. Its totient is φ = 5309399808.

The previous prime is 20218374991. The next prime is 20218375091. The reversal of 20218375086 is 68057381202.

It is a super-3 number, since 3×202183750863 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47755 + ... + 206681.

It is an arithmetic number, because the mean of its divisors is an integer number (780972192).

Almost surely, 220218375086 is an apocalyptic number.

20218375086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20218375086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24991110144).

20218375086 is an abundant number, since it is smaller than the sum of its proper divisors (29763845202).

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

20218375086 is a wasteful number, since it uses less digits than its factorization.

20218375086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159185.

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 20218375086 in words is "twenty billion, two hundred eighteen million, three hundred seventy-five thousand, eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 233 273 466 546 699 1398 1631 3029 3262 4893 6058 9087 9786 18174 21203 42406 63609 127218 158927 317854 476781 953562 1112489 2066051 2224978 3337467 4132102 6198153 6674934 12396306 14462357 28924714 37029991 43387071 74059982 86774142 111089973 222179946 259209937 481389883 518419874 777629811 962779766 1444169649 1555259622 2888339298 3369729181 6739458362 10109187543 20218375086