Search a number
-
+
3347067113680 = 245107993874279
BaseRepresentation
bin110000101101001100101…
…111110001000011010000
3102211222100212021102010211
4300231030233301003100
5414314243140114210
611041342120133504
7463550305022263
oct60551457610320
912758325242124
103347067113680
111080535145134
12460826007294
131b381c8b4b24
14b7ddb032cda
155c0e905e38a
hex30b4cbf10d0

3347067113680 has 40 divisors (see below), whose sum is σ = 7782653664000. Its totient is φ = 1338702523008.

The previous prime is 3347067113633. The next prime is 3347067113699. The reversal of 3347067113680 is 863117607433.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33470671136802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1073220 + ... + 2801059.

It is an arithmetic number, because the mean of its divisors is an integer number (194566341600).

Almost surely, 23347067113680 is an apocalyptic number.

It is an amenable number.

3347067113680 is an abundant number, since it is smaller than the sum of its proper divisors (4435586550320).

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

3347067113680 is a wasteful number, since it uses less digits than its factorization.

3347067113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885091 (or 3885085 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 3347067113680 in words is "three trillion, three hundred forty-seven billion, sixty-seven million, one hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10799 21598 43196 53995 86392 107990 172784 215980 431960 863920 3874279 7748558 15497116 19371395 30994232 38742790 61988464 77485580 154971160 309942320 41838338921 83676677842 167353355684 209191694605 334706711368 418383389210 669413422736 836766778420 1673533556840 3347067113680