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36196131636 = 22337237184859
BaseRepresentation
bin100001101101011101…
…010010001100110100
310110102120102000002000
4201231131102030310
51043112202203021
624343412415300
72420655020400
oct415535221464
9113376360060
1036196131636
1114394855485
127022017530
13354ac92492
141a75310100
15e1caa4b26
hex86d752334

36196131636 has 144 divisors (see below), whose sum is σ = 112113892800. Its totient is φ = 10062190656.

The previous prime is 36196131611. The next prime is 36196131679. The reversal of 36196131636 is 63613169163.

36196131636 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 6 + 1 + 3 + 1 + 636 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36196131591 and 36196131600.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 103375 + ... + 288233.

It is an arithmetic number, because the mean of its divisors is an integer number (778568700).

Almost surely, 236196131636 is an apocalyptic number.

36196131636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36196131636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56056946400).

36196131636 is an abundant number, since it is smaller than the sum of its proper divisors (75917761164).

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

36196131636 is a wasteful number, since it uses less digits than its factorization.

36196131636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184923 (or 184908 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The spelling of 36196131636 in words is "thirty-six billion, one hundred ninety-six million, one hundred thirty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 49 54 63 74 84 98 108 111 126 147 148 189 196 222 252 259 294 333 378 441 444 518 588 666 756 777 882 999 1036 1323 1332 1554 1764 1813 1998 2331 2646 3108 3626 3996 4662 5292 5439 6993 7252 9324 10878 13986 16317 21756 27972 32634 48951 65268 97902 184859 195804 369718 554577 739436 1109154 1294013 1663731 2218308 2588026 3327462 3882039 4991193 5176052 6654924 6839783 7764078 9058091 9982386 11646117 13679566 15528156 18116182 19964772 20519349 23292234 27174273 27359132 34938351 36232364 41038698 46584468 47878481 54348546 61558047 69876702 81522819 82077396 95756962 108697092 123116094 139753404 143635443 163045638 184674141 191513924 244568457 246232188 287270886 326091276 335149367 369348282 430906329 489136914 574541772 670298734 738696564 861812658 978273828 1005448101 1292718987 1340597468 1723625316 2010896202 2585437974 3016344303 4021792404 5170875948 6032688606 9049032909 12065377212 18098065818 36196131636