Search a number
-
+
270469368000 = 2634531397331
BaseRepresentation
bin1111101111100100111…
…0110000100011000000
3221212010110211111020000
43323321032300203000
513412410124234000
6324130225120000
725353324460326
oct3737116604300
9855113744200
10270469368000
11a47839a8407
1244503789000
131c674a85070
14d13b197d16
15707ed9c000
hex3ef93b08c0

270469368000 has 1120 divisors, whose sum is σ = 1091957875008. Its totient is φ = 65691648000.

The previous prime is 270469367981. The next prime is 270469368017. The reversal of 270469368000 is 863964072.

270469368000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 817127835 + ... + 817128165.

Almost surely, 2270469368000 is an apocalyptic number.

270469368000 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 270469368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545978937504).

270469368000 is an abundant number, since it is smaller than the sum of its proper divisors (821488507008).

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

270469368000 is a wasteful number, since it uses less digits than its factorization.

270469368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 270469368000 in words is "two hundred seventy billion, four hundred sixty-nine million, three hundred sixty-eight thousand".