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3332054104432 = 2423313711369859
BaseRepresentation
bin110000011111001101111…
…001101011100101110000
3102210112121120122112010021
4300133031321223211300
5414043021322320212
611030420255213224
7462506256401104
oct60371571534560
912715546575107
103332054104432
111075130748079
12459936217214
131b22994625c1
14b73b51c3904
155ba1b02a307
hex307cde6b970

3332054104432 has 160 divisors (see below), whose sum is σ = 7205098844160. Its totient is φ = 1487204167680.

The previous prime is 3332054104427. The next prime is 3332054104433. The reversal of 3332054104432 is 2344014502333.

It is a super-2 number, since 2×33320541044322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332054104433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47661919 + ... + 47731777.

It is an arithmetic number, because the mean of its divisors is an integer number (45031867776).

Almost surely, 23332054104432 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 3332054104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602549422080).

3332054104432 is an abundant number, since it is smaller than the sum of its proper divisors (3873044739728).

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

3332054104432 is a wasteful number, since it uses less digits than its factorization.

3332054104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70071 (or 70065 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 3332054104432 its reverse (2344014502333), we get a palindrome (5676068606765).

The spelling of 3332054104432 in words is "three trillion, three hundred thirty-two billion, fifty-four million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 31 37 46 62 74 92 113 124 148 184 226 248 296 368 452 496 592 713 851 904 1147 1426 1702 1808 2294 2599 2852 3404 3503 4181 4588 5198 5704 6808 7006 8362 9176 10396 11408 13616 14012 16724 18352 20792 26381 28024 33448 41584 52762 56048 66896 69859 80569 96163 105524 129611 139718 161138 192326 211048 259222 279436 322276 384652 422096 518444 558872 644552 769304 1036888 1117744 1289104 1538608 1606757 2073776 2165629 2584783 2981053 3213514 4331258 5169566 5962106 6427028 7894067 8662516 10339132 11924212 12854056 15788134 17325032 20678264 23848424 25708112 31576268 34650064 41356528 47696848 49809467 59450009 63152536 80128273 99618934 118900018 126305072 160256546 181563541 199237868 237800036 244716077 292080479 320513092 363127082 398475736 475600072 489432154 584160958 641026184 726254164 796951472 951200144 978864308 1168321916 1282052368 1452508328 1842950279 1957728616 2336643832 2905016656 3685900558 3915457232 4673287664 5628469771 6717851017 7371801116 9054494849 11256939542 13435702034 14743602232 18108989698 22513879084 26871404068 29487204464 36217979396 45027758168 53742808136 72435958792 90055516336 107485616272 144871917584 208253381527 416506763054 833013526108 1666027052216 3332054104432