Search a number
-
+
270748920000 = 2635413197881
BaseRepresentation
bin1111110000100111100…
…1001010100011000000
3221212211221212012110210
43330021321022203000
513413443210420000
6324214052554120
725363260563616
oct3741171124300
9855757765423
10270748920000
11a4907785a19
1244581322940
131c6ba973850
14d1663676b6
1570996bc350
hex3f09e4a8c0

270748920000 has 560 divisors, whose sum is σ = 970010772192. Its totient is φ = 66232320000.

The previous prime is 270748919989. The next prime is 270748920049. The reversal of 270748920000 is 29847072.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 307319560 + ... + 307320440.

Almost surely, 2270748920000 is an apocalyptic number.

270748920000 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 270748920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485005386096).

270748920000 is an abundant number, since it is smaller than the sum of its proper divisors (699261852192).

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

270748920000 is a wasteful number, since it uses less digits than its factorization.

270748920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 270748920000 in words is "two hundred seventy billion, seven hundred forty-eight million, nine hundred twenty thousand".