Search a number
-
+
3266230604544 = 28351729106501
BaseRepresentation
bin101111100001111010100…
…000111101001100000000
3102120020201020010021100000
4233201322200331030000
5412003220013321134
610540252521200000
7454656145025445
oct57417240751400
912506636107300
103266230604544
11104a223031396
12449026030000
131a90093864bb
14b412d1479cc
1559e67405e99
hex2f87a83d300

3266230604544 has 432 divisors, whose sum is σ = 10697290924320. Its totient is φ = 989356032000.

The previous prime is 3266230604477. The next prime is 3266230604557. The reversal of 3266230604544 is 4454060326623.

3266230604544 is a `hidden beast` number, since 3 + 2 + 6 + 6 + 2 + 30 + 604 + 5 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 3266230604544.

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 47 ways as a sum of consecutive naturals, for example, 30615294 + ... + 30721794.

It is an arithmetic number, because the mean of its divisors is an integer number (24762247510).

Almost surely, 23266230604544 is an apocalyptic number.

3266230604544 is a gapful number since it is divisible by the number (34) 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 3266230604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348645462160).

3266230604544 is an abundant number, since it is smaller than the sum of its proper divisors (7431060319776).

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

3266230604544 is a wasteful number, since it uses less digits than its factorization.

3266230604544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106578 (or 106552 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 3266230604544 in words is "three trillion, two hundred sixty-six billion, two hundred thirty million, six hundred four thousand, five hundred forty-four".