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33053034132 = 223271103223563
BaseRepresentation
bin11110110010000111…
…010100011010010100
310011022112010002212100
4132302013110122110
51020143034043012
623103453122100
72250041103666
oct366207243224
9104275102770
1033053034132
1113021637838
1264a5489330
133169a57a81
141857ad8536
15cd6b968dc
hex7b21d4694

33053034132 has 144 divisors (see below), whose sum is σ = 86086361088. Its totient is φ = 10689779520.

The previous prime is 33053034107. The next prime is 33053034181. The reversal of 33053034132 is 23143035033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33053034096 and 33053034105.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 58708483 + ... + 58709045.

It is an arithmetic number, because the mean of its divisors is an integer number (597821952).

Almost surely, 233053034132 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 33053034132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43043180544).

33053034132 is an abundant number, since it is smaller than the sum of its proper divisors (53033326956).

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

33053034132 is a wasteful number, since it uses less digits than its factorization.

33053034132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 33053034132 its reverse (23143035033), we get a palindrome (56196069165).

Subtracting from 33053034132 its reverse (23143035033), we obtain a palindrome (9909999099).

The spelling of 33053034132 in words is "thirty-three billion, fifty-three million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 103 142 206 213 223 284 309 412 426 446 563 618 639 669 852 892 927 1126 1236 1278 1338 1689 1854 2007 2252 2556 2676 3378 3708 4014 5067 6756 7313 8028 10134 14626 15833 20268 21939 22969 29252 31666 39973 43878 45938 47499 57989 63332 65817 68907 79946 87756 91876 94998 115978 119919 125549 131634 137814 142497 159892 173967 189996 206721 231956 239838 251098 263268 275628 284994 347934 359757 376647 413442 479676 502196 521901 569988 695868 719514 753294 826884 1043802 1129941 1439028 1506588 1630799 2087604 2259882 3261598 4117219 4519764 4892397 6523196 8234438 8913979 9784794 12351657 12931547 14677191 16468876 17827958 19569588 24703314 25863094 26741937 29354382 35655916 37054971 38794641 49406628 51726188 53483874 58708764 74109942 77589282 80225811 106967748 116383923 148219884 155178564 160451622 232767846 320903244 465535692 918139837 1836279674 2754419511 3672559348 5508839022 8263258533 11017678044 16526517066 33053034132