Search a number
-
+
215689636135680 = 28357172083226601
BaseRepresentation
bin110001000010101100101000…
…001001001100001100000000
31001021200201122121000222102020
4301002230220021030030000
5211232324333322320210
62042422241222521440
763301030153116030
oct6102545011141400
91037621577028366
10215689636135680
11627a85086438a3
122023611a896280
1393475a375c4a5
143b396112018c0
1519e08b09c6770
hexc42b2824c300

215689636135680 has 576 divisors, whose sum is σ = 833980866905088. Its totient is φ = 46377979084800.

The previous prime is 215689636135661. The next prime is 215689636135703. The reversal of 215689636135680 is 86531636986512.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 951734380 + ... + 951960980.

It is an arithmetic number, because the mean of its divisors is an integer number (1447883449488).

Almost surely, 2215689636135680 is an apocalyptic number.

215689636135680 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 215689636135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416990433452544).

215689636135680 is an abundant number, since it is smaller than the sum of its proper divisors (618291230769408).

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

215689636135680 is a wasteful number, since it uses less digits than its factorization.

215689636135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228732 (or 228718 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 69.

The spelling of 215689636135680 in words is "two hundred fifteen trillion, six hundred eighty-nine billion, six hundred thirty-six million, one hundred thirty-five thousand, six hundred eighty".