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3385501047324 = 223211311092530111
BaseRepresentation
bin110001010000111111100…
…101100101101000011100
3102222122120101111112110200
4301100333211211220130
5420432001232003244
611111135552503500
7466410605044044
oct61207745455034
912878511445420
103385501047324
111095868099360
1246817154ab90
131b7336382bb6
14b9c05620724
155d0e82eb669
hex3143f965a1c

3385501047324 has 144 divisors (see below), whose sum is σ = 9725345710080. Its totient is φ = 983706768000.

The previous prime is 3385501047277. The next prime is 3385501047329. The reversal of 3385501047324 is 4237401055833.

3385501047324 is a `hidden beast` number, since 3 + 3 + 8 + 550 + 1 + 0 + 4 + 73 + 24 = 666.

3385501047324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×33855010473244 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3385501047324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385501047329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73029 + ... + 2603139.

Almost surely, 23385501047324 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 3385501047324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862672855040).

3385501047324 is an abundant number, since it is smaller than the sum of its proper divisors (6339844662756).

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

3385501047324 is a wasteful number, since it uses less digits than its factorization.

3385501047324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530272 (or 2530267 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3385501047324 in words is "three trillion, three hundred eighty-five billion, five hundred one million, forty-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 109 124 132 186 198 218 279 327 341 372 396 436 558 654 682 981 1023 1116 1199 1308 1364 1962 2046 2398 3069 3379 3597 3924 4092 4796 6138 6758 7194 10137 10791 12276 13516 14388 20274 21582 30411 37169 40548 43164 60822 74338 111507 121644 148676 223014 334521 446028 669042 1338084 2530111 5060222 7590333 10120444 15180666 22770999 27831221 30361332 45541998 55662442 78433441 83493663 91083996 111324884 156866882 166987326 235300323 250480989 275782099 313733764 333974652 470600646 500961978 551564198 705900969 827346297 862767851 941201292 1001923956 1103128396 1411801938 1654692594 1725535702 2482038891 2588303553 2823603876 3033603089 3309385188 3451071404 4964077782 5176607106 6067206178 7764910659 8549245069 9100809267 9928155564 10353214212 12134412356 15529821318 17098490138 18201618534 25647735207 27302427801 31059642636 34196980276 36403237068 51295470414 54604855602 76943205621 94041695759 102590940828 109209711204 153886411242 188083391518 282125087277 307772822484 376166783036 564250174554 846375261831 1128500349108 1692750523662 3385501047324