Search a number
-
+
270612790272 = 21033114320693
BaseRepresentation
bin1111110000000111000…
…1110111110000000000
3221212111110201002121000
43330001301313300000
513413203333242042
6324152351132000
725360015523136
oct3740161676000
9855443632530
10270612790272
11a4847957710
1244543814000
131c6986c0006
14d15224d756
15708c77c74c
hex3f01c77c00

270612790272 has 352 divisors, whose sum is σ = 894656252160. Its totient is φ = 80092938240.

The previous prime is 270612790267. The next prime is 270612790277. The reversal of 270612790272 is 272097216072.

270612790272 is a `hidden beast` number, since 2 + 7 + 0 + 612 + 7 + 9 + 0 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (270612790267) and next prime (270612790277).

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270612790277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13067158 + ... + 13087850.

It is an arithmetic number, because the mean of its divisors is an integer number (2541637080).

Almost surely, 2270612790272 is an apocalyptic number.

270612790272 is a gapful number since it is divisible by the number (22) 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 270612790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447328126080).

270612790272 is an abundant number, since it is smaller than the sum of its proper divisors (624043461888).

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

270612790272 is a wasteful number, since it uses less digits than its factorization.

270612790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20776 (or 20752 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 270612790272 in words is "two hundred seventy billion, six hundred twelve million, seven hundred ninety thousand, two hundred seventy-two".