Search a number
-
+
32541540534 = 2343131720441
BaseRepresentation
bin11110010011101000…
…001000000010110110
310002222212122112120000
4132103220020002312
51013121113244114
622541022052130
72231260350006
oct362350100266
9102885575500
1032541540534
1112889940058
12638211a046
1330b7aaa339
141809bd0006
15ca6d0ce09
hex793a080b6

32541540534 has 80 divisors (see below), whose sum is σ = 75510458496. Its totient is φ = 10463644800.

The previous prime is 32541540533. The next prime is 32541540553. The reversal of 32541540534 is 43504514523.

32541540534 is a `hidden beast` number, since 3 + 25 + 41 + 540 + 53 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32541540533) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1581754 + ... + 1602194.

Almost surely, 232541540534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32541540534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37755229248).

32541540534 is an abundant number, since it is smaller than the sum of its proper divisors (42968917962).

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

32541540534 is a wasteful number, since it uses less digits than its factorization.

32541540534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20803 (or 20794 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 32541540534 in words is "thirty-two billion, five hundred forty-one million, five hundred forty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 317 558 634 837 951 1674 1902 2511 2853 5022 5706 8559 9827 17118 19654 20441 25677 29481 40882 51354 58962 61323 88443 122646 176886 183969 265329 367938 530658 551907 633671 795987 1103814 1267342 1591974 1655721 1901013 3311442 3802026 5703039 6479797 11406078 12959594 17109117 19439391 34218234 38878782 51327351 58318173 102654702 116636346 174954519 200873707 349909038 401747414 524863557 602621121 1049727114 1205242242 1807863363 3615726726 5423590089 10847180178 16270770267 32541540534