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270132290688 = 27313612633373
BaseRepresentation
bin1111101110010100100…
…0111010010010000000
3221211020222120012002010
43323211020322102000
513411212331300223
6324032544252520
725342062404541
oct3734510722200
9854228505063
10270132290688
11a46206aa217
124442a911140
131c61cca4b30
14d1084d24c8
1570604b7393
hex3ee523a480

270132290688 has 256 divisors, whose sum is σ = 788622024960. Its totient is φ = 81420042240.

The previous prime is 270132290683. The next prime is 270132290689. The reversal of 270132290688 is 886092231072.

It is a super-2 number, since 2×2701322906882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (270132290683) 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, 80084970 + ... + 80088342.

It is an arithmetic number, because the mean of its divisors is an integer number (3080554785).

Almost surely, 2270132290688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270132290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394311012480).

270132290688 is an abundant number, since it is smaller than the sum of its proper divisors (518489734272).

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

270132290688 is a wasteful number, since it uses less digits than its factorization.

270132290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 270132290688 in words is "two hundred seventy billion, one hundred thirty-two million, two hundred ninety thousand, six hundred eighty-eight".