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3386888706672 = 2432202911591947
BaseRepresentation
bin110001010010010010010…
…011000101101001110000
3102222210011002121221020100
4301102102103011221300
5420442322002103142
611111525403112400
7466460155001112
oct61222223055160
912883132557210
103386888706672
11109640a419369
1246849a212700
131b74c7a005c3
14b9cd7a3d3b2
155d17a054b4c
hex314924c5a70

3386888706672 has 60 divisors (see below), whose sum is σ = 9483256739320. Its totient is φ = 1128406391424.

The previous prime is 3386888706671. The next prime is 3386888706683. The reversal of 3386888706672 is 2766078886833.

It is a super-2 number, since 2×33868887066722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3386888706672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386888706671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5503798 + ... + 6088149.

Almost surely, 23386888706672 is an apocalyptic number.

It is an amenable number.

3386888706672 is an abundant number, since it is smaller than the sum of its proper divisors (6096368032648).

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

3386888706672 is a wasteful number, since it uses less digits than its factorization.

3386888706672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593990 (or 11593981 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 3386888706672 in words is "three trillion, three hundred eighty-six billion, eight hundred eighty-eight million, seven hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2029 4058 6087 8116 12174 16232 18261 24348 32464 36522 48696 73044 97392 146088 292176 11591947 23183894 34775841 46367788 69551682 92735576 104327523 139103364 185471152 208655046 278206728 417310092 556413456 834620184 1669240368 23520060463 47040120926 70560181389 94080241852 141120362778 188160483704 211680544167 282240725556 376320967408 423361088334 564481451112 846722176668 1128962902224 1693444353336 3386888706672