Search a number
-
+
33104155103052 = 2231117435997151397
BaseRepresentation
bin1111000011011101010010…
…11001111100111101001100
311100012201121111011111000120
413201232221121330331030
513314334302201244202
6154223501112024540
76654460552411005
oct741565131747514
9140181544144016
1033104155103052
11a6034365942a0
123867982692150
131561929567b37
1482636d0b01ac
153c61ad4190bc
hex1e1ba967cf4c

33104155103052 has 768 divisors, whose sum is σ = 94660423925760. Its totient is φ = 8890269696000.

The previous prime is 33104155102999. The next prime is 33104155103053. The reversal of 33104155103052 is 25030155140133.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (33104155103053) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83385780918 + ... + 83385781314.

It is an arithmetic number, because the mean of its divisors is an integer number (123255760320).

Almost surely, 233104155103052 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 33104155103052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330211962880).

33104155103052 is an abundant number, since it is smaller than the sum of its proper divisors (61556268822708).

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

33104155103052 is a wasteful number, since it uses less digits than its factorization.

33104155103052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 33104155103052 in words is "thirty-three trillion, one hundred four billion, one hundred fifty-five million, one hundred three thousand, fifty-two".