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5432542236 = 22331117215823
BaseRepresentation
bin1010000111100111…
…00000010000011100
3112000121021201222000
411003303200100130
542111212322421
62255022122300
7251423563362
oct50363402034
915017251860
105432542236
11233858a430
121077420390
13687655344
143976d7632
1521bde7226
hex143ce041c

5432542236 has 144 divisors (see below), whose sum is σ = 16322772480. Its totient is φ = 1549290240.

The previous prime is 5432542223. The next prime is 5432542237. The reversal of 5432542236 is 6322452345.

5432542236 is a `hidden beast` number, since 54 + 32 + 542 + 2 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5432542236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5432542237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335421 + ... + 351243.

Almost surely, 25432542236 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 5432542236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8161386240).

5432542236 is an abundant number, since it is smaller than the sum of its proper divisors (10890230244).

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

5432542236 is a wasteful number, since it uses less digits than its factorization.

5432542236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15881 (or 15856 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 5432542236 is about 73705.7815642708. The cubic root of 5432542236 is about 1757.9278121531.

It can be divided in two parts, 543254 and 2236, that added together give a triangular number (545490 = T1044).

The spelling of 5432542236 in words is "five billion, four hundred thirty-two million, five hundred forty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 289 297 306 374 396 459 561 578 594 612 748 867 918 1122 1156 1188 1683 1734 1836 2244 2601 3179 3366 3468 5049 5202 6358 6732 7803 9537 10098 10404 12716 15606 15823 19074 20196 28611 31212 31646 38148 47469 57222 63292 85833 94938 114444 142407 171666 174053 189876 268991 284814 343332 348106 427221 522159 537982 569628 696212 806973 854442 1044318 1075964 1566477 1613946 1708884 2088636 2420919 2958901 3132954 3227892 4572847 4699431 4841838 5917802 6265908 7262757 8876703 9145694 9398862 9683676 11835604 13718541 14525514 17753406 18291388 18797724 26630109 27437082 29051028 35506812 41155623 50301317 53260218 54874164 79890327 82311246 100602634 106520436 123466869 150903951 159780654 164622492 201205268 246933738 301807902 319561308 452711853 493867476 603615804 905423706 1358135559 1810847412 2716271118 5432542236