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20666605032 = 2334532692237
BaseRepresentation
bin10011001111110100…
…110101110111101000
31222100021212022110000
4103033310311313220
5314311122330112
613254421023000
71331065146543
oct231764656750
958307768400
1020666605032
11884583a277
124009254a60
131c44823998
141000a4985a
1580e5437dc
hex4cfd35de8

20666605032 has 160 divisors (see below), whose sum is σ = 59223522600. Its totient is φ = 6730753536.

The previous prime is 20666605021. The next prime is 20666605097. The reversal of 20666605032 is 23050666602.

It can be written as a sum of positive squares in 4 ways, for example, as 17775822276 + 2890782756 = 133326^2 + 53766^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9237418 + ... + 9239654.

Almost surely, 220666605032 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 20666605032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611761300).

20666605032 is an abundant number, since it is smaller than the sum of its proper divisors (38556917568).

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

20666605032 is a wasteful number, since it uses less digits than its factorization.

20666605032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20666605032 in words is "twenty billion, six hundred sixty-six million, six hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 269 318 324 424 477 538 636 648 807 954 1076 1272 1431 1614 1908 2152 2237 2421 2862 3228 3816 4293 4474 4842 5724 6456 6711 7263 8586 8948 9684 11448 13422 14257 14526 17172 17896 19368 20133 21789 26844 28514 29052 34344 40266 42771 43578 53688 57028 58104 60399 80532 85542 87156 114056 118561 120798 128313 161064 171084 174312 181197 237122 241596 256626 342168 355683 362394 384939 474244 483192 513252 601753 711366 724788 769878 948488 1026504 1067049 1154817 1203506 1422732 1449576 1539756 1805259 2134098 2309634 2407012 2845464 3079512 3201147 3610518 4268196 4619268 4814024 5415777 6402294 7221036 8536392 9238536 9603441 10831554 12804588 14442072 16247331 19206882 21663108 25609176 31892909 32494662 38413764 43326216 48741993 63785818 64989324 76827528 95678727 97483986 127571636 129978648 191357454 194967972 255143272 287036181 382714908 389935944 574072362 765429816 861108543 1148144724 1722217086 2296289448 2583325629 3444434172 5166651258 6888868344 10333302516 20666605032