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5632123364 = 227478351563
BaseRepresentation
bin1010011111011001…
…10110000111100100
3112112111211111210122
411033230312013210
543013310421424
62330511541112
7256366154510
oct51754660744
915474744718
105632123364
11243020670a
12111222a798
136b9ac3a9a
143b600b140
1522e6bc45e
hex14fb361e4

5632123364 has 48 divisors (see below), whose sum is σ = 11642738688. Its totient is φ = 2333902368.

The previous prime is 5632123363. The next prime is 5632123373. The reversal of 5632123364 is 4633212365.

It is not an unprimeable number, because it can be changed into a prime (5632123361) 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, 83447 + ... + 135009.

It is an arithmetic number, because the mean of its divisors is an integer number (242557056).

Almost surely, 25632123364 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 5632123364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821369344).

5632123364 is an abundant number, since it is smaller than the sum of its proper divisors (6010615324).

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

5632123364 is a wasteful number, since it uses less digits than its factorization.

5632123364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51704 (or 51702 counting only the distinct ones).

The product of its digits is 77760, while the sum is 35.

The square root of 5632123364 is about 75047.4740680857. The cubic root of 5632123364 is about 1779.1970628473.

The spelling of 5632123364 in words is "five billion, six hundred thirty-two million, one hundred twenty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 83 94 166 188 329 332 581 658 1162 1316 2324 3901 7802 15604 27307 51563 54614 103126 109228 206252 360941 721882 1443764 2423461 4279729 4846922 8559458 9693844 16964227 17118916 29958103 33928454 59916206 67856908 119832412 201147263 402294526 804589052 1408030841 2816061682 5632123364