Search a number
-
+
215199512212032 = 2632531032332391229
BaseRepresentation
bin110000111011100100001010…
…011110110011001001000000
31001012221212120000101221000100
4300323210022132303021000
5211201312100111241112
62041405142514122400
763220436345366025
oct6073441236631100
91035855500357010
10215199512212032
1162629667449777
1220177135280400
1393102c473009a
143b1d9d78c354c
1519d2c76e232dc
hexc3b90a7b3240

215199512212032 has 672 divisors, whose sum is σ = 640481194828800. Its totient is φ = 69050694795264.

The previous prime is 215199512212031. The next prime is 215199512212079. The reversal of 215199512212032 is 230212215991512.

215199512212032 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 9 + 9 + 512 + 2 + 120 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (215199512212031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175101311194 + ... + 175101312422.

Almost surely, 2215199512212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215199512212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320240597414400).

215199512212032 is an abundant number, since it is smaller than the sum of its proper divisors (425281682616768).

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

215199512212032 is a wasteful number, since it uses less digits than its factorization.

215199512212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 215199512212032 in words is "two hundred fifteen trillion, one hundred ninety-nine billion, five hundred twelve million, two hundred twelve thousand, thirty-two".