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52133121234 = 23319169330013
BaseRepresentation
bin110000100011011000…
…000100110011010010
311222120020122221212000
4300203120010303102
51323232034334414
635541041414430
73523623135045
oct604330046322
9158506587760
1052133121234
1120122873667
12a12b33a416
134bba98643c
142747b5cc5c
151551ca0b09
hexc23604cd2

52133121234 has 64 divisors (see below), whose sum is σ = 122024918400. Its totient is φ = 16452818496.

The previous prime is 52133121221. The next prime is 52133121239. The reversal of 52133121234 is 43212133125.

52133121234 is a `hidden beast` number, since 521 + 3 + 3 + 12 + 123 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52133121198 and 52133121207.

It is not an unprimeable number, because it can be changed into a prime (52133121239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1722012 + ... + 1752024.

It is an arithmetic number, because the mean of its divisors is an integer number (1906639350).

Almost surely, 252133121234 is an apocalyptic number.

52133121234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52133121234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61012459200).

52133121234 is an abundant number, since it is smaller than the sum of its proper divisors (69891797166).

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

52133121234 is a wasteful number, since it uses less digits than its factorization.

52133121234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31736 (or 31730 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 52133121234 its reverse (43212133125), we get a palindrome (95345254359).

The spelling of 52133121234 in words is "fifty-two billion, one hundred thirty-three million, one hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1693 3386 5079 10158 15237 30013 30474 32167 45711 60026 64334 90039 91422 96501 180078 193002 270117 289503 540234 570247 579006 810351 868509 1140494 1620702 1710741 1737018 3421482 5132223 10264446 15396669 30793338 50812009 101624018 152436027 304872054 457308081 914616162 965428171 1371924243 1930856342 2743848486 2896284513 5792569026 8688853539 17377707078 26066560617 52133121234