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20032866816 = 293101139929
BaseRepresentation
bin10010101010000011…
…010100101000000000
31220201010101002001020
4102222003110220000
5312011403214231
613111501505440
71306301362344
oct225203245000
956633332036
1020032866816
118550038386
123a70b72280
131b73444761
14d807dd624
157c3aae396
hex4aa0d4a00

20032866816 has 160 divisors (see below), whose sum is σ = 54343396800. Its totient is φ = 6556876800.

The previous prime is 20032866797. The next prime is 20032866817. The reversal of 20032866816 is 61866823002.

It is not an unprimeable number, because it can be changed into a prime (20032866817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21563440 + ... + 21564368.

It is an arithmetic number, because the mean of its divisors is an integer number (339646230).

Almost surely, 220032866816 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 20032866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27171698400).

20032866816 is an abundant number, since it is smaller than the sum of its proper divisors (34310529984).

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

20032866816 is a wasteful number, since it uses less digits than its factorization.

20032866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

It can be divided in two parts, 2003286 and 6816, that added together give a palindrome (2010102).

The spelling of 20032866816 in words is "twenty billion, thirty-two million, eight hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 139 192 202 256 278 303 384 404 417 512 556 606 768 808 834 929 1112 1212 1536 1616 1668 1858 2224 2424 2787 3232 3336 3716 4448 4848 5574 6464 6672 7432 8896 9696 11148 12928 13344 14039 14864 17792 19392 22296 25856 26688 28078 29728 35584 38784 42117 44592 51712 53376 56156 59456 71168 77568 84234 89184 93829 106752 112312 118912 129131 155136 168468 178368 187658 213504 224624 237824 258262 281487 336936 356736 375316 387393 449248 475648 516524 562974 673872 713472 750632 774786 898496 1033048 1125948 1347744 1426944 1501264 1549572 1796992 2066096 2251896 2695488 3002528 3099144 3593984 4132192 4503792 5390976 6005056 6198288 7187968 8264384 9007584 10781952 12010112 12396576 13042231 16528768 18015168 21563904 24020224 24793152 26084462 33057536 36030336 39126693 48040448 49586304 52168924 66115072 72060672 78253386 99172608 104337848 144121344 156506772 198345216 208675696 313013544 417351392 626027088 834702784 1252054176 1669405568 2504108352 3338811136 5008216704 6677622272 10016433408 20032866816