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33404040036 = 2234307499673
BaseRepresentation
bin11111000111000010…
…010011001101100100
310012012222121001110000
4133013002103031210
51021402413240121
623202352301300
72261532440553
oct370702231544
9105188531400
1033404040036
1113191789764
126582b41830
1331c46a3a83
14188c587d9a
15d078cd526
hex7c7093364

33404040036 has 120 divisors (see below), whose sum is σ = 87915212000. Its totient is φ = 11059711488.

The previous prime is 33404040031. The next prime is 33404040073. The reversal of 33404040036 is 63004040433.

It is a super-2 number, since 2×334040400362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33404039991 and 33404040009.

It is not an unprimeable number, because it can be changed into a prime (33404040031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49634196 + ... + 49634868.

Almost surely, 233404040036 is an apocalyptic number.

33404040036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33404040036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43957606000).

33404040036 is an abundant number, since it is smaller than the sum of its proper divisors (54511171964).

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

33404040036 is a wasteful number, since it uses less digits than its factorization.

33404040036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 33404040036 its reverse (63004040433), we get a palindrome (96408080469).

The spelling of 33404040036 in words is "thirty-three billion, four hundred four million, forty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 307 324 499 614 673 921 998 1228 1346 1497 1842 1996 2019 2692 2763 2994 3684 4038 4491 5526 5988 6057 8076 8289 8982 11052 12114 13473 16578 17964 18171 24228 24867 26946 33156 36342 40419 49734 53892 54513 72684 80838 99468 109026 153193 161676 206611 218052 306386 335827 413222 459579 612772 619833 671654 826444 919158 1007481 1239666 1343308 1378737 1838316 1859499 2014962 2479332 2757474 3022443 3718998 4029924 4136211 5514948 5578497 6044886 7437996 8272422 9067329 11156994 12089772 12408633 16544844 16735491 18134658 22313988 24817266 27201987 33470982 36269316 49634532 54403974 66941964 103098889 108807948 206197778 309296667 412395556 618593334 927890001 1237186668 1855780002 2783670003 3711560004 5567340006 8351010009 11134680012 16702020018 33404040036