Search a number
-
+
33153249088 = 263183201329
BaseRepresentation
bin11110111000000101…
…100110111101000000
310011120111200112221101
4132320011212331000
51020344212432323
623121433104144
72252365652611
oct367005467500
9104514615841
1033153249088
1113073165813
126512b58054
13318474536b
141867143c08
15ce088edad
hex7b8166f40

33153249088 has 56 divisors (see below), whose sum is σ = 68729230080. Its totient is φ = 15848540160.

The previous prime is 33153249079. The next prime is 33153249121. The reversal of 33153249088 is 88094235133.

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 7 ways as a sum of consecutive naturals, for example, 64008 + ... + 265336.

It is an arithmetic number, because the mean of its divisors is an integer number (1227307680).

Almost surely, 233153249088 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 33153249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34364615040).

33153249088 is an abundant number, since it is smaller than the sum of its proper divisors (35575980992).

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

33153249088 is a wasteful number, since it uses less digits than its factorization.

33153249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201455 (or 201445 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 33153249088 in words is "thirty-three billion, one hundred fifty-three million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 83 124 166 248 332 496 664 992 1328 1984 2573 2656 5146 5312 10292 20584 41168 82336 164672 201329 402658 805316 1610632 3221264 6241199 6442528 12482398 12885056 16710307 24964796 33420614 49929592 66841228 99859184 133682456 199718368 267364912 399436736 518019517 534729824 1036039034 1069459648 2072078068 4144156136 8288312272 16576624544 33153249088