Search a number
-
+
3321264301264 = 2471329467168433
BaseRepresentation
bin110000010101001010110…
…001110110010011010000
3102202111202121201201201201
4300111022301312103100
5413403422130120024
611021433500240544
7461645011522030
oct60251261662320
912674677651651
103321264301264
1110705a4127278
12457824840154
131b1269c525a0
14b6a701cb8c0
155b5d8b5b744
hex3054ac764d0

3321264301264 has 160 divisors (see below), whose sum is σ = 8210631985920. Its totient is φ = 1265875623936.

The previous prime is 3321264301237. The next prime is 3321264301279. The reversal of 3321264301264 is 4621034621233.

It is a super-2 number, since 2×33212643012642 (a number of 26 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 31 ways as a sum of consecutive naturals, for example, 19634392 + ... + 19802824.

It is an arithmetic number, because the mean of its divisors is an integer number (51316449912).

Almost surely, 23321264301264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321264301264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105315992960).

3321264301264 is an abundant number, since it is smaller than the sum of its proper divisors (4889367684656).

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

3321264301264 is a wasteful number, since it uses less digits than its factorization.

3321264301264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168957 (or 168951 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 3321264301264 its reverse (4621034621233), we get a palindrome (7942298922497).

The spelling of 3321264301264 in words is "three trillion, three hundred twenty-one billion, two hundred sixty-four million, three hundred one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 182 203 208 232 364 377 406 464 467 728 754 812 934 1456 1508 1624 1868 2639 3016 3248 3269 3736 5278 6032 6071 6538 7472 10556 12142 13076 13543 21112 24284 26152 27086 42224 42497 48568 52304 54172 84994 94801 97136 108344 168433 169988 176059 189602 216688 336866 339976 352118 379204 673732 679952 704236 758408 1179031 1232413 1347464 1408472 1516816 2189629 2358062 2464826 2694928 2816944 4379258 4716124 4884557 4929652 8758516 9432248 9769114 9859304 15327403 17517032 18864496 19538228 19718608 30654806 34191899 35034064 39076456 61309612 63499241 68383798 78152912 78658211 122619224 126998482 136767596 157316422 245238448 253996964 273535192 314632844 444494687 507993928 547070384 550607477 629265688 888989374 1015987856 1022556743 1101214954 1258531376 1777978748 2045113486 2202429908 2281088119 3555957496 4090226972 4404859816 4562176238 7111914992 7157897201 8180453944 8809719632 9124352476 14315794402 15967616833 16360907888 18248704952 28631588804 29654145547 31935233666 36497409904 57263177608 59308291094 63870467332 114526355216 118616582188 127740934664 207579018829 237233164376 255481869328 415158037658 474466328752 830316075316 1660632150632 3321264301264