Search a number
-
+
203451660216 = 233274759149977
BaseRepresentation
bin1011110101111010101…
…0011111011110111000
3201110010220012012011200
42331132222133132320
511313132111111331
6233244151054200
720461502402220
oct2753652373670
9643126165150
10203451660216
1179313181652
123351b671360
1316254461c7c
149bc0699080
15545b4d35e6
hex2f5ea9f7b8

203451660216 has 384 divisors, whose sum is σ = 659093760000. Its totient is φ = 55495766016.

The previous prime is 203451660163. The next prime is 203451660227. The reversal of 203451660216 is 612066154302.

203451660216 is a `hidden beast` number, since 2 + 0 + 3 + 45 + 1 + 6 + 602 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208240720 + ... + 208241696.

It is an arithmetic number, because the mean of its divisors is an integer number (1716390000).

Almost surely, 2203451660216 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 203451660216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329546880000).

203451660216 is an abundant number, since it is smaller than the sum of its proper divisors (455642099784).

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

203451660216 is a wasteful number, since it uses less digits than its factorization.

203451660216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 203451660216 in words is "two hundred three billion, four hundred fifty-one million, six hundred sixty thousand, two hundred sixteen".