Search a number
-
+
215327911680 = 283457296693
BaseRepresentation
bin1100100010001010001…
…0110010111100000000
3202120210120110021110000
43020202202302330000
512011442421133210
6242530440240000
721362012023110
oct3104242627400
9676716407400
10215327911680
1183357aa1102
1235894a70000
13173c7a895bb
14a5c9aa3040
155903e5cac0
hex32228b2f00

215327911680 has 360 divisors, whose sum is σ = 880554562272. Its totient is φ = 49217642496.

The previous prime is 215327911583. The next prime is 215327911759. The reversal of 215327911680 is 86119723512.

215327911680 is a `hidden beast` number, since 21 + 532 + 7 + 9 + 1 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2153279116802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 577414 + ... + 874106.

Almost surely, 2215327911680 is an apocalyptic number.

215327911680 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 215327911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440277281136).

215327911680 is an abundant number, since it is smaller than the sum of its proper divisors (665226650592).

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

215327911680 is an equidigital number, since it uses as much as digits as its factorization.

215327911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296733 (or 296710 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 215327911680 in words is "two hundred fifteen billion, three hundred twenty-seven million, nine hundred eleven thousand, six hundred eighty".