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42760056701120 = 2651112147743381
BaseRepresentation
bin10011011100011110110011…
…11111011000000011000000
312121101211011212112210002012
421232033121333120003000
521101040044003413440
6230535410542112052
712002212031650313
oct1156173177300300
9177354155483065
1042760056701120
1112696490289a40
12496722857b628
131ab23436b94b5
14a7b85248297a
154e24494a4e65
hex26e3d9fd80c0

42760056701120 has 56 divisors (see below), whose sum is σ = 111078965485008. Its totient is φ = 15549111526400.

The previous prime is 42760056701057. The next prime is 42760056701189. The reversal of 42760056701120 is 2110765006724.

42760056701120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6073868171 + ... + 6073875210.

Almost surely, 242760056701120 is an apocalyptic number.

42760056701120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42760056701120 is an abundant number, since it is smaller than the sum of its proper divisors (68318908783888).

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

42760056701120 is a wasteful number, since it uses less digits than its factorization.

42760056701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12147743409 (or 12147743399 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 42760056701120 in words is "forty-two trillion, seven hundred sixty billion, fifty-six million, seven hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 12147743381 24295486762 48590973524 60738716905 97181947048 121477433810 133625177191 194363894096 242954867620 267250354382 388727788192 485909735240 534500708764 668125885955 777455576384 971819470480 1069001417528 1336251771910 1943638940960 2138002835056 2672503543820 3887277881920 4276005670112 5345007087640 8552011340224 10690014175280 21380028350560 42760056701120