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270293023242 = 2321131417314713
BaseRepresentation
bin1111101110111010111…
…0000011101000001010
3221211200012000020200200
43323232232003220022
513412030003220432
6324100525313030
725346053534554
oct3735656035012
9854605006620
10270293023242
11a46a3401a40
1244474705776
131c647390b58
14d1219b24d4
15706e666a7c
hex3eeeb83a0a

270293023242 has 192 divisors, whose sum is σ = 684869133312. Its totient is φ = 76267008000.

The previous prime is 270293023177. The next prime is 270293023249. The reversal of 270293023242 is 242320392072.

270293023242 is a `hidden beast` number, since 2 + 7 + 0 + 29 + 302 + 324 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 270293023197 and 270293023206.

It is not an unprimeable number, because it can be changed into a prime (270293023249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18363678 + ... + 18378390.

It is an arithmetic number, because the mean of its divisors is an integer number (3567026736).

Almost surely, 2270293023242 is an apocalyptic number.

270293023242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 270293023242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342434566656).

270293023242 is an abundant number, since it is smaller than the sum of its proper divisors (414576110070).

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

270293023242 is a wasteful number, since it uses less digits than its factorization.

270293023242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14877 (or 14874 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 270293023242 in words is "two hundred seventy billion, two hundred ninety-three million, twenty-three thousand, two hundred forty-two".