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50009008632 = 233112136112653
BaseRepresentation
bin101110100100110001…
…001110100111111000
311210002012202212010220
4232210301032213320
51304404301234012
634550202340040
73420161362662
oct564461164770
9153065685126
1050009008632
111a232866400
129837aba620
13493c8a528b
1425c59d7532
15147a57408c
hexba4c4e9f8

50009008632 has 96 divisors (see below), whose sum is σ = 137533289040. Its totient is φ = 15141913600.

The previous prime is 50009008619. The next prime is 50009008639. The reversal of 50009008632 is 23680090005.

It is a happy number.

It is a super-2 number, since 2×500090086322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 50009008593 and 50009008602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50009008639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3946018 + ... + 3958670.

Almost surely, 250009008632 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 50009008632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68766644520).

50009008632 is an abundant number, since it is smaller than the sum of its proper divisors (87524280408).

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

50009008632 is a wasteful number, since it uses less digits than its factorization.

50009008632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14045 (or 14030 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 50009008632 its reverse (23680090005), we get a palindrome (73689098637).

The spelling of 50009008632 in words is "fifty billion, nine million, eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1361 1452 2722 2904 4083 5444 8166 10888 12653 14971 16332 25306 29942 32664 37959 44913 50612 59884 75918 89826 101224 119768 139183 151836 164681 179652 278366 303672 329362 359304 417549 494043 556732 658724 835098 988086 1113464 1317448 1531013 1670196 1976172 3062026 3340392 3952344 4593039 6124052 9186078 12248104 17220733 18372156 34441466 36744312 51662199 68882932 103324398 137765864 189428063 206648796 378856126 413297592 568284189 757712252 1136568378 1515424504 2083708693 2273136756 4167417386 4546273512 6251126079 8334834772 12502252158 16669669544 25004504316 50009008632