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213874330932 = 22331726852311
BaseRepresentation
bin1100011100101111100…
…1110100110100110100
3202110001021021201112000
43013023321310310310
512001003312042212
6242130313055300
721311001550263
oct3071371646464
9673037251460
10213874330932
11827815363a9
123554a0b7530
131722589a952
14a4cca045da
15586b5321dc
hex31cbe74d34

213874330932 has 72 divisors (see below), whose sum is σ = 589024739520. Its totient is φ = 67097819520.

The previous prime is 213874330897. The next prime is 213874330937. The reversal of 213874330932 is 239033478312.

213874330932 is a `hidden beast` number, since 213 + 8 + 74 + 330 + 9 + 32 = 666.

It is a super-2 number, since 2×2138743309322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213874330937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3394944 + ... + 3457367.

It is an arithmetic number, because the mean of its divisors is an integer number (8180899160).

Almost surely, 2213874330932 is an apocalyptic number.

It is an amenable number.

213874330932 is an abundant number, since it is smaller than the sum of its proper divisors (375150408588).

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

213874330932 is a wasteful number, since it uses less digits than its factorization.

213874330932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852358 (or 6852333 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 213874330932 in words is "two hundred thirteen billion, eight hundred seventy-four million, three hundred thirty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 578 612 867 918 1156 1734 1836 2601 3468 5202 7803 10404 15606 31212 6852311 13704622 20556933 27409244 41113866 61670799 82227732 116489287 123341598 185012397 232978574 246683196 349467861 370024794 465957148 698935722 740049588 1048403583 1397871444 1980317879 2096807166 3145210749 3960635758 4193614332 5940953637 6290421498 7921271516 11881907274 12580842996 17822860911 23763814548 35645721822 53468582733 71291443644 106937165466 213874330932