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540286628224 = 2777344918397
BaseRepresentation
bin1111101110010111001…
…01111011000110000000
31220122120111121110202011
413313023211323012000
532323001334100344
61052112041302304
754014543365060
oct7671345730600
91818514543664
10540286628224
11199152797572
1288864a94994
133bc446c8925
141c2158c33a0
15e0c2886d34
hex7dcb97b180

540286628224 has 128 divisors (see below), whose sum is σ = 1249812936000. Its totient is φ = 227858448384.

The previous prime is 540286628221. The next prime is 540286628227. The reversal of 540286628224 is 422826682045.

It is an interprime number because it is at equal distance from previous prime (540286628221) and next prime (540286628227).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540286628221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29358994 + ... + 29377390.

Almost surely, 2540286628224 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 540286628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624906468000).

540286628224 is an abundant number, since it is smaller than the sum of its proper divisors (709526307776).

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

540286628224 is a wasteful number, since it uses less digits than its factorization.

540286628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18928 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 49.

The spelling of 540286628224 in words is "five hundred forty billion, two hundred eighty-six million, six hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 448 449 511 584 896 898 1022 1168 1796 2044 2336 3143 3592 4088 4672 6286 7184 8176 9344 12572 14368 16352 18397 25144 28736 32704 32777 36794 50288 57472 65408 65554 73588 100576 128779 131108 147176 201152 229439 257558 262216 294352 402304 458878 515116 524432 588704 917756 1030232 1048864 1177408 1342981 1835512 2060464 2097728 2354816 2685962 3671024 4120928 4195456 5371924 7342048 8241856 8260253 9400867 10743848 14684096 16483712 16520506 18801734 21487696 29368192 33041012 37603468 42975392 57821771 66082024 75206936 85950784 115643542 132164048 150413872 171901568 231287084 264328096 300827744 462574168 528656192 601655488 602998469 925148336 1057312384 1203310976 1205996938 1850296672 2411993876 3700593344 4220989283 4823987752 7401186688 8441978566 9647975504 16883957132 19295951008 33767914264 38591902016 67535828528 77183804032 135071657056 270143314112 540286628224