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136285012224 = 283276912
BaseRepresentation
bin111111011101100111…
…0000100000100000000
3111000202221021221120100
41332323032010010000
54213102430342344
6142335232442400
712563161330104
oct1767316040400
9430687257510
10136285012224
1152886377909
12224b56a9400
13cb0c02148a
14684c0a9904
1538299e9569
hex1fbb384100

136285012224 has 81 divisors (see below), whose sum is σ = 392994386239. Its totient is φ = 45422430720.

The previous prime is 136285012219. The next prime is 136285012229. The reversal of 136285012224 is 422210582631.

The square root of 136285012224 is 369168.

It is a perfect power (a square), and thus also a powerful number.

136285012224 is a `hidden beast` number, since 1 + 3 + 628 + 5 + 0 + 1 + 2 + 2 + 24 = 666.

136285012224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136285012219) and next prime (136285012229).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136285012229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17716219 + ... + 17723909.

Almost surely, 2136285012224 is an apocalyptic number.

136285012224 is the 369168-th square number.

It is an amenable number.

136285012224 is an abundant number, since it is smaller than the sum of its proper divisors (256709374015).

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

136285012224 is an frugal number, since it uses more digits than its factorization.

136285012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15404 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 136285012224 by its sum of digits (36), we get a square (4906260440064 = 22150082).

136285012224 divided by its sum of digits (36) gives a square (3785694784 = 615282).

Adding to 136285012224 its reverse (422210582631), we get a palindrome (558495594855).

The spelling of 136285012224 in words is "one hundred thirty-six billion, two hundred eighty-five million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7691 15382 23073 30764 46146 61528 69219 92292 123056 138438 184584 246112 276876 369168 492224 553752 738336 984448 1107504 1476672 1968896 2215008 2953344 4430016 5906688 8860032 17720064 59151481 118302962 177454443 236605924 354908886 473211848 532363329 709817772 946423696 1064726658 1419635544 1892847392 2129453316 2839271088 3785694784 4258906632 5678542176 7571389568 8517813264 11357084352 15142779136 17035626528 22714168704 34071253056 45428337408 68142506112 136285012224