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42262460064 = 25321113340423
BaseRepresentation
bin100111010111000010…
…011111011010100000
311001002100021102020200
4213113002133122200
51143023142210224
631225355105200
73024205661166
oct472702373240
9131070242220
1042262460064
1116a18069850
128235742200
133ca6a12826
14208cc67236
1511754405c9
hex9d709f6a0

42262460064 has 72 divisors (see below), whose sum is σ = 131109687072. Its totient is φ = 12806805120.

The previous prime is 42262460047. The next prime is 42262460081. The reversal of 42262460064 is 46006426224.

42262460064 is a `hidden beast` number, since 4 + 2 + 26 + 24 + 600 + 6 + 4 = 666.

42262460064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42262460047) and next prime (42262460081).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×422624600642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6667044 + ... + 6673379.

It is an arithmetic number, because the mean of its divisors is an integer number (1820967876).

Almost surely, 242262460064 is an apocalyptic number.

42262460064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42262460064 is an abundant number, since it is smaller than the sum of its proper divisors (88847227008).

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

42262460064 is a wasteful number, since it uses less digits than its factorization.

42262460064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13340450 (or 13340439 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 42262460064 its reverse (46006426224), we get a palindrome (88268886288).

The spelling of 42262460064 in words is "forty-two billion, two hundred sixty-two million, four hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 13340423 26680846 40021269 53361692 80042538 106723384 120063807 146744653 160085076 213446768 240127614 293489306 320170152 426893536 440233959 480255228 586978612 640340304 880467918 960510456 1173957224 1280680608 1320701877 1760935836 1921020912 2347914448 2641403754 3521871672 3842041824 4695828896 5282807508 7043743344 10565615016 14087486688 21131230032 42262460064