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213266116128 = 25313522732693
BaseRepresentation
bin1100011010011110100…
…1101010111000100000
3202101110212211012122210
43012213221222320200
511443232111204003
6241550105002120
721256635035262
oct3064751527040
9671425735583
10213266116128
118249a18763a
12353ba483340
1317159886c30
14a471d1db32
155832e40503
hex31a7a6ae20

213266116128 has 96 divisors (see below), whose sum is σ = 603020690496. Its totient is φ = 65605782528.

The previous prime is 213266116109. The next prime is 213266116153. The reversal of 213266116128 is 821611662312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

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, 6506950 + ... + 6539642.

It is an arithmetic number, because the mean of its divisors is an integer number (6281465526).

Almost surely, 2213266116128 is an apocalyptic number.

It is an amenable number.

213266116128 is an abundant number, since it is smaller than the sum of its proper divisors (389754574368).

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

213266116128 is a wasteful number, since it uses less digits than its factorization.

213266116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37946 (or 37938 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The spelling of 213266116128 in words is "two hundred thirteen billion, two hundred sixty-six million, one hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5227 10454 15681 20908 31362 32693 41816 62724 65386 67951 83632 98079 125448 130772 135902 167264 196158 203853 250896 261544 271804 392316 407706 425009 501792 523088 543608 784632 815412 850018 1046176 1087216 1275027 1569264 1630824 1700036 2174432 2550054 3138528 3261648 3400072 5100108 6523296 6800144 10200216 13600288 20400432 40800864 170886311 341772622 512658933 683545244 1025317866 1367090488 2050635732 2221522043 2734180976 4101271464 4443044086 5468361952 6664566129 8202542928 8886088172 13329132258 16405085856 17772176344 26658264516 35544352688 53316529032 71088705376 106633058064 213266116128