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4033112133104 = 2429229307123637
BaseRepresentation
bin111010101100001000001…
…101110100110111110000
3112021120011112000100100022
4322230020031310313300
51012034303201224404
612324441445543012
7564245164332245
oct72541015646760
915246145010308
104033112133104
11131548472432a
12551789114a68
13233422b762c2
14dd2bcc1d5cc
156ed9ce278be
hex3ab08374df0

4033112133104 has 80 divisors (see below), whose sum is σ = 8145419805600. Its totient is φ = 1932187364352.

The previous prime is 4033112132993. The next prime is 4033112133109. The reversal of 4033112133104 is 4013312113304.

4033112133104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033112133109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32558774 + ... + 32682410.

It is an arithmetic number, because the mean of its divisors is an integer number (101817747570).

Almost surely, 24033112133104 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 4033112133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072709902800).

4033112133104 is an abundant number, since it is smaller than the sum of its proper divisors (4112307672496).

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

4033112133104 is a wasteful number, since it uses less digits than its factorization.

4033112133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124210 (or 124204 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 4033112133104 its reverse (4013312113304), we get a palindrome (8046424246408).

The spelling of 4033112133104 in words is "four trillion, thirty-three billion, one hundred twelve million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 229 232 307 458 464 614 916 1228 1832 2456 3664 4912 6641 8903 13282 17806 26564 35612 53128 70303 71224 106256 123637 140606 142448 247274 281212 494548 562424 989096 1124848 1978192 2038787 3585473 4077574 7170946 8155148 14341892 16310296 28312873 28683784 32620592 37956559 56625746 57367568 75913118 113251492 151826236 226502984 303652472 453005968 607304944 821073317 1100740211 1642146634 2201480422 3284293268 4402960844 6568586536 8692052011 8805921688 13137173072 17384104022 17611843376 34768208044 69536416088 139072832176 252069508319 504139016638 1008278033276 2016556066552 4033112133104