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36120411404 = 227114118115803
BaseRepresentation
bin100001101000111100…
…011011110100001100
310110020021221000102222
4201220330123310030
51042433311131104
624332105434512
72416045300610
oct415074336414
9113207830388
1036120411404
1114356037780
12700079ba38
1335383a00cc
141a6923d340
15e160e91be
hex868f1bd0c

36120411404 has 96 divisors (see below), whose sum is σ = 81181481472. Its totient is φ = 13652928000.

The previous prime is 36120411373. The next prime is 36120411413. The reversal of 36120411404 is 40411402163.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 2277767 + ... + 2293569.

It is an arithmetic number, because the mean of its divisors is an integer number (845640432).

Almost surely, 236120411404 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 36120411404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40590740736).

36120411404 is an abundant number, since it is smaller than the sum of its proper divisors (45061070068).

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

36120411404 is a wasteful number, since it uses less digits than its factorization.

36120411404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16047 (or 16045 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 36120411404 its reverse (40411402163), we get a palindrome (76531813567).

The spelling of 36120411404 in words is "thirty-six billion, one hundred twenty million, four hundred eleven thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 181 287 308 362 451 574 724 902 1148 1267 1804 1991 2534 3157 3982 5068 6314 7421 7964 12628 13937 14842 15803 27874 29684 31606 51947 55748 63212 81631 103894 110621 163262 173833 207788 221242 326524 347666 442484 571417 647923 695332 1142834 1216831 1295846 2285668 2433662 2591692 2860343 4535461 4867324 5720686 7127153 9070922 11441372 14254306 18141844 20022401 28508612 31463773 40044802 49890071 62927546 80089604 99780142 117274063 125855092 199560284 220246411 234548126 440492822 469096252 820918441 880985644 1290014693 1641836882 2580029386 3283673764 5160058772 9030102851 18060205702 36120411404