Search a number
-
+
3533195492640 = 253451189281991
BaseRepresentation
bin110011011010100010110…
…111001011110100100000
3110111202210110122201220000
4303122202313023310200
5430341441021231030
611303043321220000
7513156610110402
oct63324267136440
913452713581800
103533195492640
111142468822110
12490910031600
131c8243093ac8
14c3016ad8b72
1561d8e7ad860
hex336a2dcbd20

3533195492640 has 960 divisors, whose sum is σ = 13818525557760. Its totient is φ = 843042816000.

The previous prime is 3533195492639. The next prime is 3533195492707. The reversal of 3533195492640 is 462945913353.

3533195492640 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 1 + 95 + 492 + 64 + 0 = 666.

3533195492640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35331954926402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3565282545 + ... + 3565283535.

It is an arithmetic number, because the mean of its divisors is an integer number (14394297456).

Almost surely, 23533195492640 is an apocalyptic number.

3533195492640 is a gapful number since it is divisible by the number (30) 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 3533195492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909262778880).

3533195492640 is an abundant number, since it is smaller than the sum of its proper divisors (10285330065120).

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

3533195492640 is a wasteful number, since it uses less digits than its factorization.

3533195492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 3533195492640 in words is "three trillion, five hundred thirty-three billion, one hundred ninety-five million, four hundred ninety-two thousand, six hundred forty".