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540101111056 = 241313930416143
BaseRepresentation
bin1111101110000001000…
…10001110110100010000
31220122002120112020000221
413313000202032310100
532322111341023211
61052041413122424
754010131460513
oct7670042166420
91818076466027
10540101111056
11199067aa67a1
1288812929414
133bc15142760
141c1d8dd0d7a
15e0b143dc71
hex7dc088ed10

540101111056 has 80 divisors (see below), whose sum is σ = 1135607316480. Its totient is φ = 247362416640.

The previous prime is 540101111009. The next prime is 540101111101. The reversal of 540101111056 is 650111101045.

It is a self number, because there is not a number n which added to its sum of digits gives 540101111056.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87918321 + ... + 87924463.

It is an arithmetic number, because the mean of its divisors is an integer number (14195091456).

Almost surely, 2540101111056 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 540101111056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567803658240).

540101111056 is an abundant number, since it is smaller than the sum of its proper divisors (595506205424).

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

540101111056 is a wasteful number, since it uses less digits than its factorization.

540101111056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 540101111056 in words is "five hundred forty billion, one hundred one million, one hundred eleven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 556 1112 1807 2224 3041 3614 6082 6143 7228 12164 12286 14456 24328 24572 28912 39533 48656 49144 79066 79859 98288 158132 159718 316264 319436 422699 632528 638872 845398 853877 1277744 1690796 1707754 3381592 3415508 5495087 6763184 6831016 10990174 11100401 13662032 18680863 21980348 22200802 37361726 43960696 44401604 74723452 87921392 88803208 149446904 177606416 242851219 298893808 485702438 971404876 1942809752 2596639957 3885619504 5193279914 10386559828 20773119656 33756319441 41546239312 67512638882 135025277764 270050555528 540101111056