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42267903648 = 253539785643
BaseRepresentation
bin100111010111010111…
…010000011010100000
311001002201111222102220
4213113113100122200
51143031040404043
631230111511040
73024303152535
oct472727203240
9131081458386
1042267903648
1116a20147683
128237528480
133ca7b9a499
14208d882d8c
151175b68483
hex9d75d06a0

42267903648 has 96 divisors (see below), whose sum is σ = 114213468096. Its totient is φ = 13680795648.

The previous prime is 42267903647. The next prime is 42267903649. The reversal of 42267903648 is 84630976224.

It is an interprime number because it is at equal distance from previous prime (42267903647) and next prime (42267903649).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×422679036482 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42267903648.

It is not an unprimeable number, because it can be changed into a prime (42267903647) by changing a digit.

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, 450715 + ... + 536357.

It is an arithmetic number, because the mean of its divisors is an integer number (1189723626).

Almost surely, 242267903648 is an apocalyptic number.

42267903648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42267903648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57106734048).

42267903648 is an abundant number, since it is smaller than the sum of its proper divisors (71945564448).

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

42267903648 is a wasteful number, since it uses less digits than its factorization.

42267903648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85806 (or 85798 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 42267903648 in words is "forty-two billion, two hundred sixty-seven million, nine hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 97 106 159 194 212 291 318 388 424 582 636 776 848 1164 1272 1552 1696 2328 2544 3104 4656 5088 5141 9312 10282 15423 20564 30846 41128 61692 82256 85643 123384 164512 171286 246768 256929 342572 493536 513858 685144 1027716 1370288 2055432 2740576 4110864 4539079 8221728 8307371 9078158 13617237 16614742 18156316 24922113 27234474 33229484 36312632 49844226 54468948 66458968 72625264 99688452 108937896 132917936 145250528 199376904 217875792 265835872 398753808 435751584 440290663 797507616 880581326 1320871989 1761162652 2641743978 3522325304 5283487956 7044650608 10566975912 14089301216 21133951824 42267903648