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20032114605320 = 2357363291083949
BaseRepresentation
bin1001000111000000101110…
…00100110011110100001000
32121221001101111202111012102
410203200113010303310020
510111201232314332240
6110334343145332532
74135162321454546
oct443402704636410
977831344674172
1020032114605320
116423632505374
1222b6436797148
13b240357ab78c
144d37b9474d96
1524b13445e815
hex123817133d08

20032114605320 has 64 divisors (see below), whose sum is σ = 45696947310000. Its totient is φ = 7901824831488.

The previous prime is 20032114605241. The next prime is 20032114605361. The reversal of 20032114605320 is 2350641123002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11799128820196 + 8232985785124 = 3434986^2 + 2869318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17938706 + ... + 19022654.

Almost surely, 220032114605320 is an apocalyptic number.

20032114605320 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 20032114605320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22848473655000).

20032114605320 is an abundant number, since it is smaller than the sum of its proper divisors (25664832704680).

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

20032114605320 is a wasteful number, since it uses less digits than its factorization.

20032114605320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090362 (or 1090358 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 20032114605320 its reverse (2350641123002), we get a palindrome (22382755728322).

The spelling of 20032114605320 in words is "twenty trillion, thirty-two billion, one hundred fourteen million, six hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 6329 12658 25316 31645 50632 63290 126580 253160 462017 924034 1083949 1848068 2167898 2310085 3696136 4335796 4620170 5419745 8671592 9240340 10839490 18480680 21678980 43357960 79128277 158256554 316513108 395641385 633026216 791282770 1582565540 3165131080 6860313221 13720626442 27441252884 34301566105 54882505768 68603132210 137206264420 274412528840 500802865133 1001605730266 2003211460532 2504014325665 4006422921064 5008028651330 10016057302660 20032114605320