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20182218408 = 233211154916451
BaseRepresentation
bin10010110010111101…
…000011011010101000
31221002112101220220200
4102302331003122220
5312313121442113
613134354552200
71313064011622
oct226275033250
957075356820
1020182218408
118617377450
123ab2b98660
131b98377491
14d96599c12
157d1c61873
hex4b2f436a8

20182218408 has 96 divisors (see below), whose sum is σ = 59671404000. Its totient is φ = 6111504000.

The previous prime is 20182218391. The next prime is 20182218409. The reversal of 20182218408 is 80481228102.

20182218408 is a `hidden beast` number, since 20 + 1 + 8 + 221 + 8 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20182218409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1218583 + ... + 1235033.

It is an arithmetic number, because the mean of its divisors is an integer number (621577125).

Almost surely, 220182218408 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 20182218408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29835702000).

20182218408 is an abundant number, since it is smaller than the sum of its proper divisors (39489185592).

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

20182218408 is a wasteful number, since it uses less digits than its factorization.

20182218408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18023 (or 18016 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 20182218408 in words is "twenty billion, one hundred eighty-two million, two hundred eighteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1549 3098 4647 6196 9294 12392 13941 16451 17039 18588 27882 32902 34078 37176 49353 51117 55764 65804 68156 98706 102234 111528 131608 136312 148059 153351 180961 197412 204468 296118 306702 361922 394824 408936 542883 592236 613404 723844 1085766 1184472 1226808 1447688 1628649 2171532 3257298 4343064 6514596 13029192 25482599 50965198 76447797 101930396 152895594 203860792 229343391 280308589 305791188 458686782 560617178 611582376 840925767 917373564 1121234356 1681851534 1834747128 2242468712 2522777301 3363703068 5045554602 6727406136 10091109204 20182218408