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33054354322040 = 2355347982339551
BaseRepresentation
bin1111000010000000100010…
…00011000011001001111000
311100000222001210012200110202
413201000101003003021320
513313030304201301130
6154144543304301332
76651045466640432
oct741002103031170
9140028053180422
1033054354322040
11a594300320437
12385a1a4471848
13155a020b6aa8c
14823ba6ddb652
153c4c462c7145
hex1e10110c3278

33054354322040 has 128 divisors (see below), whose sum is σ = 76027930214400. Its totient is φ = 12929136729600.

The previous prime is 33054354322027. The next prime is 33054354322061. The reversal of 33054354322040 is 4022345345033.

It is a junction number, because it is equal to n+sod(n) for n = 33054354321985 and 33054354322003.

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, 835720265 + ... + 835759815.

It is an arithmetic number, because the mean of its divisors is an integer number (593968204800).

Almost surely, 233054354322040 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 33054354322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38013965107200).

33054354322040 is an abundant number, since it is smaller than the sum of its proper divisors (42973575892360).

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

33054354322040 is a wasteful number, since it uses less digits than its factorization.

33054354322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40917 (or 40913 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

Adding to 33054354322040 its reverse (4022345345033), we get a palindrome (37076699667073).

The spelling of 33054354322040 in words is "thirty-three trillion, fifty-four billion, three hundred fifty-four million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 479 530 823 958 1060 1646 1916 2120 2395 3292 3832 4115 4790 6584 8230 9580 16460 19160 25387 32920 39551 43619 50774 79102 87238 101548 126935 158204 174476 197755 203096 218095 253870 316408 348952 394217 395510 436190 507740 788434 791020 872380 1015480 1576868 1582040 1744760 1971085 2096203 3153736 3942170 4192406 7884340 8384812 10481015 15768680 16769624 18944929 20893501 20962030 32550473 37889858 41787002 41924060 65100946 75779716 83574004 83848120 94724645 104467505 130201892 151559432 162752365 167148008 189449290 208935010 260403784 325504730 378898580 417870020 651009460 757797160 835740040 1004081237 1302018920 1725175069 2008162474 3450350138 4016324948 5020406185 6900700276 8032649896 8625875345 10040812370 13801400552 15591676567 17251750690 20081624740 31183353134 34503501380 40163249480 62366706268 69007002760 77958382835 124733412536 155916765670 311833531340 623667062680 826358858051 1652717716102 3305435432204 4131794290255 6610870864408 8263588580510 16527177161020 33054354322040