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213212970158904 = 2333171391997209179
BaseRepresentation
bin110000011110101010000011…
…010110010000101100111000
31000221220221221111001121112000
4300132222003112100230320
5210421240130330041104
62033244404123421000
762624062106503452
oct6036520326205470
91027827844047460
10213212970158904
1161a33127227631
121bab6128384760
1391c7b873ba5b1
143a917c45292d2
15199b25a6a5639
hexc1ea83590b38

213212970158904 has 256 divisors, whose sum is σ = 631927759680000. Its totient is φ = 66375546329088.

The previous prime is 213212970158863. The next prime is 213212970158957. The reversal of 213212970158904 is 409851079212312.

213212970158904 is a `hidden beast` number, since 2 + 1 + 32 + 1 + 29 + 7 + 0 + 1 + 589 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1019180187 + ... + 1019389365.

It is an arithmetic number, because the mean of its divisors is an integer number (2468467811250).

Almost surely, 2213212970158904 is an apocalyptic number.

213212970158904 is a gapful number since it is divisible by the number (24) 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 213212970158904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315963879840000).

213212970158904 is an abundant number, since it is smaller than the sum of its proper divisors (418714789521096).

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

213212970158904 is a wasteful number, since it uses less digits than its factorization.

213212970158904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211347 (or 211337 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 213212970158904 in words is "two hundred thirteen trillion, two hundred twelve billion, nine hundred seventy million, one hundred fifty-eight thousand, nine hundred four".