Search a number
-
+
217952661204 = 22326054240589
BaseRepresentation
bin1100101011111011111…
…1011010111011010100
3202211120111101100220100
43022332333122323110
512032331340124304
6244043121534100
721514033024065
oct3127677327324
9684514340810
10217952661204
1184484660293
12362a7aa4330
13177257b6725
14a79850856c
155a095cb439
hex32befdaed4

217952661204 has 18 divisors (see below), whose sum is σ = 550935893690. Its totient is φ = 72650887056.

The previous prime is 217952661193. The next prime is 217952661221. The reversal of 217952661204 is 402166259712.

217952661204 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 5 + 26 + 612 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148920353604 + 69032307600 = 385902^2 + 262740^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 217952661204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3027120259 + ... + 3027120330.

Almost surely, 2217952661204 is an apocalyptic number.

It is an amenable number.

217952661204 is an abundant number, since it is smaller than the sum of its proper divisors (332983232486).

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

217952661204 is a wasteful number, since it uses less digits than its factorization.

217952661204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054240599 (or 6054240594 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 217952661204 in words is "two hundred seventeen billion, nine hundred fifty-two million, six hundred sixty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 6054240589 12108481178 18162721767 24216962356 36325443534 54488165301 72650887068 108976330602 217952661204