Search a number
-
+
33348909136 = 24192910735353
BaseRepresentation
bin11111000011101111…
…111111100001010000
310012002010212010001211
4133003233333201100
51021244310043021
623153102505504
72260263023224
oct370357774120
9105063763054
1033348909136
1113163654034
126568595294
1331b614013a
141885116784
15d02b3d3e1
hex7c3bff850

33348909136 has 80 divisors (see below), whose sum is σ = 71019115200. Its totient is φ = 15109161984.

The previous prime is 33348909131. The next prime is 33348909137. The reversal of 33348909136 is 63190984333.

It is a super-2 number, since 2×333489091362 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33348909136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33348909131) 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, 925636 + ... + 960988.

It is an arithmetic number, because the mean of its divisors is an integer number (887738940).

Almost surely, 233348909136 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 33348909136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35509557600).

33348909136 is an abundant number, since it is smaller than the sum of its proper divisors (37670206064).

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

33348909136 is a wasteful number, since it uses less digits than its factorization.

33348909136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35516 (or 35510 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

The spelling of 33348909136 in words is "thirty-three billion, three hundred forty-eight million, nine hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 29 38 58 76 107 116 152 214 232 304 428 464 551 856 1102 1712 2033 2204 3103 4066 4408 6206 8132 8816 12412 16264 24824 32528 35353 49648 58957 70706 117914 141412 235828 282824 471656 565648 671707 943312 1025237 1343414 2050474 2686828 3782771 4100948 5373656 7565542 8201896 10747312 15131084 16403792 19479503 30262168 38959006 60524336 71872649 77918012 109700359 143745298 155836024 219400718 287490596 311672048 438801436 574981192 877602872 1149962384 1755205744 2084306821 4168613642 8337227284 16674454568 33348909136