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36233729140 = 2257249377489
BaseRepresentation
bin100001101111101100…
…101101010001110100
310110112012011011011011
4201233230231101310
51043201313313030
624351234322004
72421622421200
oct415754552164
9113465134134
1036233729140
1114403aa4aa4
127032729304
1335559c761b
141a7a2d9b00
15e2102eb2a
hex86fb2d474

36233729140 has 72 divisors (see below), whose sum is σ = 88543574280. Its totient is φ = 12418818048.

The previous prime is 36233729117. The next prime is 36233729179. The reversal of 36233729140 is 4192733263.

It can be written as a sum of positive squares in 4 ways, for example, as 2971994256 + 33261734884 = 54516^2 + 182378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36233729093 and 36233729102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4834516 + ... + 4842004.

It is an arithmetic number, because the mean of its divisors is an integer number (1229771865).

Almost surely, 236233729140 is an apocalyptic number.

It is an amenable number.

36233729140 is an abundant number, since it is smaller than the sum of its proper divisors (52309845140).

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

36233729140 is a wasteful number, since it uses less digits than its factorization.

36233729140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12440 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 36233729140 in words is "thirty-six billion, two hundred thirty-three million, seven hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 4937 7489 9874 14978 19748 24685 29956 34559 37445 49370 52423 69118 74890 98740 104846 138236 149780 172795 209692 241913 262115 345590 366961 483826 524230 691180 733922 967652 1048460 1209565 1467844 1834805 2419130 3669610 4838260 7339220 36973193 73946386 147892772 184865965 258812351 369731930 517624702 739463860 1035249404 1294061755 1811686457 2588123510 3623372914 5176247020 7246745828 9058432285 18116864570 36233729140