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3389984962944 = 27337332364877
BaseRepresentation
bin110001010101001010110…
…110010111100110000000
3110000002010212210001100120
4301111022312113212000
5421020142122303234
611113200530420240
7466626662514246
oct61251266274600
913002125701316
103389984962944
111097759153548
12469003131680
131b789c3175c8
14ba10cd40796
155d2abcae049
hex3154ad97980

3389984962944 has 64 divisors (see below), whose sum is σ = 9007063541040. Its totient is φ = 1129691805696.

The previous prime is 3389984962943. The next prime is 3389984962967. The reversal of 3389984962944 is 4492694899833.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33899849629442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3389984962944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389984962943) by changing a digit.

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, 251034 + ... + 2615910.

Almost surely, 23389984962944 is an apocalyptic number.

It is an amenable number.

3389984962944 is an abundant number, since it is smaller than the sum of its proper divisors (5617078578096).

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

3389984962944 is a wasteful number, since it uses less digits than its factorization.

3389984962944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368627 (or 2368615 counting only the distinct ones).

The product of its digits is 2902376448, while the sum is 78.

The spelling of 3389984962944 in words is "three trillion, three hundred eighty-nine billion, nine hundred eighty-four million, nine hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3733 7466 11199 14932 22398 29864 44796 59728 89592 119456 179184 238912 358368 477824 716736 1433472 2364877 4729754 7094631 9459508 14189262 18919016 28378524 37838032 56757048 75676064 113514096 151352128 227028192 302704256 454056384 908112768 8828085841 17656171682 26484257523 35312343364 52968515046 70624686728 105937030092 141249373456 211874060184 282498746912 423748120368 564997493824 847496240736 1129994987648 1694992481472 3389984962944