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202011019849056 = 25311219915302939
BaseRepresentation
bin101101111011101001011011…
…000101000010110101100000
3222111021001202022021020120010
4231323221123011002311200
5202434222032040132211
61553350325324044520
760356546251065435
oct5573513305026540
9874231668236503
10202011019849056
1159404435319900
121a7a7109993740
1388947328aa3a2
1437c5557c6db8c
151854b8472c4a6
hexb7ba5b142d60

202011019849056 has 144 divisors (see below), whose sum is σ = 613545866740800. Its totient is φ = 57993594151680.

The previous prime is 202011019849049. The next prime is 202011019849057. The reversal of 202011019849056 is 650948910110202.

202011019849056 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-2 number, since 2×2020110198490562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 202011019848996 and 202011019849014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011019849057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457430766 + ... + 457872173.

It is an arithmetic number, because the mean of its divisors is an integer number (4260735185700).

Almost surely, 2202011019849056 is an apocalyptic number.

It is an amenable number.

202011019849056 is an abundant number, since it is smaller than the sum of its proper divisors (411534846891744).

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

202011019849056 is a wasteful number, since it uses less digits than its factorization.

202011019849056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915302993 (or 915302974 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

Adding to 202011019849056 its reverse (650948910110202), we get a palindrome (852959929959258).

The spelling of 202011019849056 in words is "two hundred two trillion, eleven billion, nineteen million, eight hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 121 132 152 176 209 228 242 264 304 352 363 418 456 484 528 608 627 726 836 912 968 1056 1254 1452 1672 1824 1936 2299 2508 2904 3344 3872 4598 5016 5808 6688 6897 9196 10032 11616 13794 18392 20064 27588 36784 55176 73568 110352 220704 915302939 1830605878 2745908817 3661211756 5491817634 7322423512 10068332329 10983635268 14644847024 17390755841 20136664658 21967270536 29289694048 30204996987 34781511682 40273329316 43934541072 52172267523 60409993974 69563023364 80546658632 87869082144 104344535046 110751655619 120819987948 139126046728 161093317264 191298314251 208689070092 221503311238 241639975896 278252093456 322186634528 332254966857 382596628502 417378140184 443006622476 483279951792 556504186912 573894942753 664509933714 765193257004 834756280368 886013244952 966559903584 1147789885506 1329019867428 1530386514008 1669512560736 1772026489904 2104281456761 2295579771012 2658039734856 3060773028016 3544052979808 4208562913522 4591159542024 5316079469712 6121546056032 6312844370283 8417125827044 9182319084048 10632158939424 12625688740566 16834251654088 18364638168096 25251377481132 33668503308176 50502754962264 67337006616352 101005509924528 202011019849056