Search a number
-
+
270234448680 = 23357171933189
BaseRepresentation
bin1111101110101100111…
…0100111001100101000
3221211112002210100111110
43323223032213030220
513411420004324210
6324051034030320
725344442625340
oct3735316471450
9854462710443
10270234448680
11a4673335009
1244458b783a0
131c6381c2951
14d117cc5d20
157069446420
hex3eeb3a7328

270234448680 has 1024 divisors, whose sum is σ = 1080926208000. Its totient is φ = 52699299840.

The previous prime is 270234448667. The next prime is 270234448681. The reversal of 270234448680 is 86844432072.

It is not an unprimeable number, because it can be changed into a prime (270234448681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3036342076 + ... + 3036342164.

It is an arithmetic number, because the mean of its divisors is an integer number (1055592000).

Almost surely, 2270234448680 is an apocalyptic number.

270234448680 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 270234448680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540463104000).

270234448680 is an abundant number, since it is smaller than the sum of its proper divisors (810691759320).

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

270234448680 is a wasteful number, since it uses less digits than its factorization.

270234448680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 270234448680 in words is "two hundred seventy billion, two hundred thirty-four million, four hundred forty-eight thousand, six hundred eighty".