Search a number
-
+
33379433680 = 245417242921
BaseRepresentation
bin11111000101100100…
…011011110011010000
310012011021021220212111
4133011210123303100
51021330113334210
623200113035104
72261113335115
oct370544336320
9105137256774
1033379433680
111317990262a
126576855a94
1331bc569ab8
1418891c090c
15d0566c88a
hex7c591bcd0

33379433680 has 20 divisors (see below), whose sum is σ = 77607183492. Its totient is φ = 13351773440.

The previous prime is 33379433677. The next prime is 33379433777. The reversal of 33379433680 is 8633497333.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5265534096 + 28113899584 = 72564^2 + 167672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×333794336802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208621381 + ... + 208621540.

Almost surely, 233379433680 is an apocalyptic number.

It is an amenable number.

33379433680 is an abundant number, since it is smaller than the sum of its proper divisors (44227749812).

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

33379433680 is a wasteful number, since it uses less digits than its factorization.

33379433680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417242934 (or 417242928 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 49.

The spelling of 33379433680 in words is "thirty-three billion, three hundred seventy-nine million, four hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 417242921 834485842 1668971684 2086214605 3337943368 4172429210 6675886736 8344858420 16689716840 33379433680