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36352142232 = 23371918831283
BaseRepresentation
bin100001110110110000…
…011010101110011000
310110211102222011101020
4201312300122232120
51043422122022412
624411104322440
72424561052650
oct416660325630
9113742864336
1036352142232
111446492255a
127066313420
1335743b7143
141a8bd21360
15e2b62018c
hex876c1ab98

36352142232 has 128 divisors (see below), whose sum is σ = 104606760960. Its totient is φ = 10312202880.

The previous prime is 36352142207. The next prime is 36352142237. The reversal of 36352142232 is 23224125363.

It is a junction number, because it is equal to n+sod(n) for n = 36352142193 and 36352142202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36352142237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28333063 + ... + 28334345.

It is an arithmetic number, because the mean of its divisors is an integer number (817240320).

Almost surely, 236352142232 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 36352142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52303380480).

36352142232 is an abundant number, since it is smaller than the sum of its proper divisors (68254618728).

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

36352142232 is a wasteful number, since it uses less digits than its factorization.

36352142232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2369 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

Adding to 36352142232 its reverse (23224125363), we get a palindrome (59576267595).

The spelling of 36352142232 in words is "thirty-six billion, three hundred fifty-two million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 382 573 764 883 1146 1283 1337 1528 1766 2292 2566 2649 2674 3532 3849 4011 4584 5132 5298 5348 6181 7064 7698 8022 8981 10264 10596 10696 12362 15396 16044 17962 18543 21192 24724 26943 30792 32088 35924 37086 49448 53886 71848 74172 107772 148344 168653 215544 245053 337306 490106 505959 674612 735159 980212 1011918 1132889 1180571 1349224 1470318 1715371 1960424 2023836 2265778 2361142 2940636 3398667 3430742 3541713 4047672 4531556 4722284 5146113 5881272 6797334 6861484 7083426 7930223 9063112 9444568 10292226 13594668 13722968 14166852 15860446 20584452 23790669 27189336 28333704 31720892 41168904 47581338 63441784 95162676 190325352 216381799 432763598 649145397 865527196 1298290794 1514672593 1731054392 2596581588 3029345186 4544017779 5193163176 6058690372 9088035558 12117380744 18176071116 36352142232