Search a number
-
+
261676550169216 = 27327133174121191
BaseRepresentation
bin111011011111111001010001…
…110100011010001010000000
31021022112000220200221120100100
4323133321101310122022000
5233244302033320403331
62324312314140322400
7106055335565623230
oct7337712164321200
91238460820846310
10261676550169216
1176418446749aa6
1225422803243400
13b301cba246000
1448892d9563cc0
15203bc1a8e7ae6
hexedfe51d1a280

261676550169216 has 1536 divisors, whose sum is σ = 1011216663475200. Its totient is φ = 63366738739200.

The previous prime is 261676550169187. The next prime is 261676550169217. The reversal of 261676550169216 is 612961055676162.

261676550169216 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 7 + 6 + 550 + 1 + 69 + 2 + 16 = 666.

261676550169216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (261676550169217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12348465181 + ... + 12348486371.

It is an arithmetic number, because the mean of its divisors is an integer number (658344181950).

Almost surely, 2261676550169216 is an apocalyptic number.

261676550169216 is a gapful number since it is divisible by the number (26) 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 261676550169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505608331737600).

261676550169216 is an abundant number, since it is smaller than the sum of its proper divisors (749540113305984).

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

261676550169216 is a wasteful number, since it uses less digits than its factorization.

261676550169216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21315 (or 21274 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 261676550169216 in words is "two hundred sixty-one trillion, six hundred seventy-six billion, five hundred fifty million, one hundred sixty-nine thousand, two hundred sixteen".