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20154262656 = 2731119792411
BaseRepresentation
bin10010110001010010…
…011010010010000000
31221000120210121211110
4102301102122102000
5312233442401111
613131515443320
71312304256153
oct226122322200
957016717743
1020154262656
118602612920
123aa5756540
131b92639b08
14d9299dc9a
157ce58d5a6
hex4b149a480

20154262656 has 128 divisors (see below), whose sum is σ = 58455302400. Its totient is φ = 6101734400.

The previous prime is 20154262619. The next prime is 20154262663. The reversal of 20154262656 is 65626245102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8358091 + ... + 8360501.

It is an arithmetic number, because the mean of its divisors is an integer number (456682050).

Almost surely, 220154262656 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 20154262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29227651200).

20154262656 is an abundant number, since it is smaller than the sum of its proper divisors (38301039744).

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

20154262656 is a wasteful number, since it uses less digits than its factorization.

20154262656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 20154262656 in words is "twenty billion, one hundred fifty-four million, two hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 1979 2112 2411 3958 4224 4822 5937 7233 7916 9644 11874 14466 15832 19288 21769 23748 26521 28932 31664 38576 43538 47496 53042 57864 63328 65307 77152 79563 87076 94992 106084 115728 126656 130614 154304 159126 174152 189984 212168 231456 253312 261228 308608 318252 348304 379968 424336 462912 522456 636504 696608 759936 848672 925824 1044912 1273008 1393216 1697344 2089824 2546016 2786432 3394688 4179648 4771369 5092032 8359296 9542738 10184064 14314107 19085476 28628214 38170952 52485059 57256428 76341904 104970118 114512856 152683808 157455177 209940236 229025712 305367616 314910354 419880472 458051424 610735232 629820708 839760944 916102848 1259641416 1679521888 1832205696 2519282832 3359043776 5038565664 6718087552 10077131328 20154262656