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212644106432406 = 232116011786955297
BaseRepresentation
bin110000010110011000010000…
…011011010110111110010110
31000212220120121101121010121200
4300112120100123112332112
5210332430112221314111
62032131204235453330
762535013121555145
oct6026302033267626
91025816541533550
10212644106432406
116183394a508180
121ba23a28bb7246
13918633a36647c
143a7205b59175c
15198b5640b0256
hexc166106d6f96

212644106432406 has 48 divisors (see below), whose sum is σ = 503449637837328. Its totient is φ = 64330390656000.

The previous prime is 212644106432369. The next prime is 212644106432413. The reversal of 212644106432406 is 604234601446212.

212644106432406 is a `hidden beast` number, since 2 + 1 + 264 + 4 + 1 + 0 + 64 + 324 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 893358651 + ... + 893596646.

It is an arithmetic number, because the mean of its divisors is an integer number (10488534121611).

Almost surely, 2212644106432406 is an apocalyptic number.

212644106432406 is an abundant number, since it is smaller than the sum of its proper divisors (290805531404922).

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

212644106432406 is a wasteful number, since it uses less digits than its factorization.

212644106432406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786955917 (or 1786955914 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

Adding to 212644106432406 its reverse (604234601446212), we get a palindrome (816878707878618).

The spelling of 212644106432406 in words is "two hundred twelve trillion, six hundred forty-four billion, one hundred six million, four hundred thirty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 601 1202 1803 3606 5409 6611 10818 13222 19833 39666 59499 118998 1786955297 3573910594 5360865891 10721731782 16082597673 19656508267 32165195346 39313016534 58969524801 117939049602 176908574403 353817148806 1073960133497 2147920266994 3221880400491 6443760800982 9665641201473 11813561468467 19331282402946 23627122936934 35440684405401 70881368810802 106322053216203 212644106432406