Search a number
-
+
33014245005 = 335734935709
BaseRepresentation
bin11110101111110011…
…010110011010001101
310011012211010102012000
4132233303112122031
51020103121320010
623055545502513
72246060311110
oct365763263215
9104184112160
1033014245005
1113001753a05
1264944a1a39
1331619c6421
1418528bc577
15cd35837c0
hex7afcd668d

33014245005 has 32 divisors (see below), whose sum is σ = 67076563200. Its totient is φ = 15092225856.

The previous prime is 33014245003. The next prime is 33014245031. The reversal of 33014245005 is 50054241033.

It is not a de Polignac number, because 33014245005 - 21 = 33014245003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 33014245005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33014245003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17466910 + ... + 17468799.

It is an arithmetic number, because the mean of its divisors is an integer number (2096142600).

Almost surely, 233014245005 is an apocalyptic number.

33014245005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33014245005 is an abundant number, since it is smaller than the sum of its proper divisors (34062318195).

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

33014245005 is a wasteful number, since it uses less digits than its factorization.

33014245005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34935730 (or 34935724 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 33014245005 its reverse (50054241033), we get a palindrome (83068486038).

The spelling of 33014245005 in words is "thirty-three billion, fourteen million, two hundred forty-five thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 34935709 104807127 174678545 244549963 314421381 524035635 733649889 943264143 1222749815 1572106905 2200949667 3668249445 4716320715 6602849001 11004748335 33014245005