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202027051688 = 2371123106913339
BaseRepresentation
bin1011110000100111000…
…0000010101010101000
3201022110121112120122212
42330021300002222220
511302222411123223
6232450540504252
720411263414460
oct2741160025250
9638417476585
10202027051688
1178752005130
12331a254b088
1316088278547
149ac73bcba0
1553c63cc278
hex2f09c02aa8

202027051688 has 128 divisors (see below), whose sum is σ = 493302528000. Its totient is φ = 75213515520.

The previous prime is 202027051673. The next prime is 202027051691. The reversal of 202027051688 is 886150720202.

It is a super-2 number, since 2×2020270516882 (a number of 23 digits) contains 22 as substring.

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, 15138923 + ... + 15152261.

It is an arithmetic number, because the mean of its divisors is an integer number (3853926000).

Almost surely, 2202027051688 is an apocalyptic number.

202027051688 is a gapful number since it is divisible by the number (28) 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 202027051688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246651264000).

202027051688 is an abundant number, since it is smaller than the sum of its proper divisors (291275476312).

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

202027051688 is a wasteful number, since it uses less digits than its factorization.

202027051688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14455 (or 14451 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 202027051688 in words is "two hundred two billion, twenty-seven million, fifty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1069 1288 1771 2024 2138 3542 4276 7084 7483 8552 11759 13339 14168 14966 23518 24587 26678 29932 47036 49174 53356 59864 82313 93373 94072 98348 106712 146729 164626 172109 186746 196696 270457 293458 306797 329252 344218 373492 540914 586916 613594 658504 688436 746984 1027103 1081828 1173832 1227188 1376872 1893199 2054206 2147579 2163656 2454376 3374767 3786398 4108412 4295158 6749534 7572796 8216824 8590316 13499068 14259391 15145592 17180632 23623369 26998136 28518782 47246738 57037564 94493476 99815737 114075128 156853301 188986952 199631474 313706602 327965993 399262948 627413204 655931986 798525896 1097973107 1254826408 1311863972 2195946214 2295761951 2623727944 3607625923 4391892428 4591523902 7215251846 8783784856 9183047804 14430503692 18366095608 25253381461 28861007384 50506762922 101013525844 202027051688