Search a number
-
+
33055515540 = 22325183641753
BaseRepresentation
bin11110110010010000…
…110010001110010100
310011022200210011201100
4132302100302032110
51020144202444130
623104022230100
72250101150265
oct366220621624
9104280704640
1033055515540
1113022a82093
1264a6285330
13316a416368
14185818296c
15cd6ed6c60
hex7b2432394

33055515540 has 36 divisors (see below), whose sum is σ = 100268397684. Its totient is φ = 8814804096.

The previous prime is 33055515499. The next prime is 33055515541. The reversal of 33055515540 is 4551555033.

33055515540 is a `hidden beast` number, since 3 + 3 + 0 + 55 + 51 + 554 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3802202244 + 29253313296 = 61662^2 + 171036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33055515495 and 33055515504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33055515541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91820697 + ... + 91821056.

It is an arithmetic number, because the mean of its divisors is an integer number (2785233269).

Almost surely, 233055515540 is an apocalyptic number.

33055515540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33055515540 is an abundant number, since it is smaller than the sum of its proper divisors (67212882144).

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

33055515540 is a wasteful number, since it uses less digits than its factorization.

33055515540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183641768 (or 183641763 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 33055515540 in words is "thirty-three billion, fifty-five million, five hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 183641753 367283506 550925259 734567012 918208765 1101850518 1652775777 1836417530 2203701036 2754626295 3305551554 3672835060 5509252590 6611103108 8263878885 11018505180 16527757770 33055515540