Search a number
-
+
33026253088104 = 2332458697959557
BaseRepresentation
bin1111000001001100001100…
…00101010110010101101000
311022221021112100210002110200
413200212012011112111220
513312100231242304404
6154124015021312200
76646032224251623
oct740460605262550
9138837470702420
1033026253088104
11a58339a96a461
123854861405660
131557492c969c3
1482269cc18dba
153c414e215839
hex1e0986156568

33026253088104 has 24 divisors (see below), whose sum is σ = 89446102113810. Its totient is φ = 11008751029344.

The previous prime is 33026253088097. The next prime is 33026253088141. The reversal of 33026253088104 is 40188035262033.

33026253088104 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 6 + 2 + 530 + 8 + 8 + 104 = 666.

33026253088104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33007300059204 + 18953028900 = 5745198^2 + 137670^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33026253088104.

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 5 ways as a sum of consecutive naturals, for example, 229348979707 + ... + 229348979850.

Almost surely, 233026253088104 is an apocalyptic number.

It is an amenable number.

33026253088104 is an abundant number, since it is smaller than the sum of its proper divisors (56419849025706).

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

33026253088104 is a wasteful number, since it uses less digits than its factorization.

33026253088104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458697959569 (or 458697959562 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 33026253088104 in words is "thirty-three trillion, twenty-six billion, two hundred fifty-three million, eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 458697959557 917395919114 1376093878671 1834791838228 2752187757342 3669583676456 4128281636013 5504375514684 8256563272026 11008751029368 16513126544052 33026253088104