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36121042500 = 2235419253481
BaseRepresentation
bin100001101000111110…
…110101111001000100
310110020100010002010220
4201220332311321010
51042433441330000
624332131144340
72416053536544
oct415076657104
9113210102126
1036121042500
1114356428944
127000a450b0
13353856143a
141a69365324
15e161c11a0
hex868fb5e44

36121042500 has 120 divisors (see below), whose sum is σ = 110862887520. Its totient is φ = 9125280000.

The previous prime is 36121042483. The next prime is 36121042513. The reversal of 36121042500 is 524012163.

36121042500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×361210425002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15760 + ... + 269240.

It is an arithmetic number, because the mean of its divisors is an integer number (923857396).

Almost surely, 236121042500 is an apocalyptic number.

36121042500 is a gapful number since it is divisible by the number (30) 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 36121042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55431443760).

36121042500 is an abundant number, since it is smaller than the sum of its proper divisors (74741845020).

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

36121042500 is a wasteful number, since it uses less digits than its factorization.

36121042500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253527 (or 253510 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 36121042500 its reverse (524012163), we get a palindrome (36645054663).

The spelling of 36121042500 in words is "thirty-six billion, one hundred twenty-one million, forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 625 750 950 1140 1250 1425 1500 1875 1900 2375 2500 2850 3750 4750 5700 7125 7500 9500 11875 14250 23750 28500 35625 47500 71250 142500 253481 506962 760443 1013924 1267405 1520886 2534810 3041772 3802215 4816139 5069620 6337025 7604430 9632278 12674050 14448417 15208860 19011075 19264556 24080695 25348100 28896834 31685125 38022150 48161390 57793668 63370250 72242085 76044300 95055375 96322780 120403475 126740500 144484170 158425625 190110750 240806950 288968340 316851250 361210425 380221500 475276875 481613900 602017375 633702500 722420850 950553750 1204034750 1444841700 1806052125 1901107500 2408069500 3010086875 3612104250 6020173750 7224208500 9030260625 12040347500 18060521250 36121042500