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137112871064 = 23133735632243
BaseRepresentation
bin111111110110010010…
…0000110000010011000
3111002220122001112101212
41333230210012002120
54221301343333224
6142553324402252
712622533113531
oct1775444060230
9432818045355
10137112871064
1153170706474
12226a69a6388
13cc116a9890
1468ca007688
153877525d0e
hex1fec906098

137112871064 has 32 divisors (see below), whose sum is σ = 284345307120. Its totient is φ = 61572514176.

The previous prime is 137112871013. The next prime is 137112871067. The reversal of 137112871064 is 460178211731.

It is a super-3 number, since 3×1371128710643 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137112871067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17812274 + ... + 17819969.

Almost surely, 2137112871064 is an apocalyptic number.

It is an amenable number.

137112871064 is an abundant number, since it is smaller than the sum of its proper divisors (147232436056).

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

137112871064 is a wasteful number, since it uses less digits than its factorization.

137112871064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35632299 (or 35632295 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 137112871064 in words is "one hundred thirty-seven billion, one hundred twelve million, eight hundred seventy-one thousand, sixty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3848 35632243 71264486 142528972 285057944 463219159 926438318 1318392991 1852876636 2636785982 3705753272 5273571964 10547143928 17139108883 34278217766 68556435532 137112871064