Search a number
-
+
216898560000 = 2133454523
BaseRepresentation
bin1100101000000000101…
…0010110000000000000
3202201212000220110220000
43022000022112000000
512023202012410000
6243350344520000
721445643224533
oct3120012260000
9681760813800
10216898560000
1183a93645471
1236052a80000
13175b82b64c5
14a6d8516a1a
155996cb0000
hex3280296000

216898560000 has 700 divisors, whose sum is σ = 811261978692. Its totient is φ = 57729024000.

The previous prime is 216898559963. The next prime is 216898560001. The reversal of 216898560000 is 65898612.

216898560000 is a `hidden beast` number, since 2 + 1 + 6 + 89 + 8 + 560 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216898560001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 414719739 + ... + 414720261.

Almost surely, 2216898560000 is an apocalyptic number.

216898560000 is a gapful number since it is divisible by the number (20) 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 216898560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405630989346).

216898560000 is an abundant number, since it is smaller than the sum of its proper divisors (594363418692).

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

216898560000 is an frugal number, since it uses more digits than its factorization.

216898560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 216898560000 in words is "two hundred sixteen billion, eight hundred ninety-eight million, five hundred sixty thousand".