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8145515136 = 273112383843
BaseRepresentation
bin1111001011000001…
…01011001010000000
3210000200020001010210
413211200223022000
5113140222441021
63424134354120
7405565510353
oct74540531200
923020201123
108145515136
1134aaa270a0
1216b3abb940
139ca731855
14573b4629a
1532a190e76
hex1e582b280

8145515136 has 128 divisors (see below), whose sum is σ = 24630013440. Its totient is φ = 2360990720.

The previous prime is 8145515089. The next prime is 8145515233. The reversal of 8145515136 is 6315155418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 8145515094 and 8145515103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55231 + ... + 139073.

It is an arithmetic number, because the mean of its divisors is an integer number (192421980).

Almost surely, 28145515136 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 8145515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315006720).

8145515136 is an abundant number, since it is smaller than the sum of its proper divisors (16484498304).

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

8145515136 is a wasteful number, since it uses less digits than its factorization.

8145515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83894 (or 83882 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 8145515136 is about 90252.5076438323. The cubic root of 8145515136 is about 2012.0534723025.

The spelling of 8145515136 in words is "eight billion, one hundred forty-five million, five hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 16192 24288 32384 48576 83843 97152 167686 251529 335372 503058 670744 922273 1006116 1341488 1844546 1928389 2012232 2682976 2766819 3689092 3856778 4024464 5365952 5533638 5785167 7378184 7713556 8048928 10731904 11067276 11570334 14756368 15427112 16097856 21212279 22134552 23140668 29512736 30854224 32195712 42424558 44269104 46281336 59025472 61708448 63636837 84849116 88538208 92562672 118050944 123416896 127273674 169698232 177076416 185125344 246833792 254547348 339396464 354152832 370250688 509094696 678792928 740501376 1018189392 1357585856 2036378784 2715171712 4072757568 8145515136