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2423720064 = 27347134293
BaseRepresentation
bin1001000001110111…
…0000100010000000
320020220122201212210
42100131300202000
514430433020224
61040300422120
7114030165153
oct22035604200
96226581783
102423720064
111034143837
12577847940
132c81a23ac
1418dc75c9a
15e2bae429
hex90770880

2423720064 has 64 divisors (see below), whose sum is σ = 6575034240. Its totient is φ = 790711296.

The previous prime is 2423720053. The next prime is 2423720071. The reversal of 2423720064 is 4600273242.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49099 + ... + 85194.

It is an arithmetic number, because the mean of its divisors is an integer number (102734910).

Almost surely, 22423720064 is an apocalyptic number.

2423720064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2423720064 is an abundant number, since it is smaller than the sum of its proper divisors (4151314176).

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

2423720064 is a wasteful number, since it uses less digits than its factorization.

2423720064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134357 (or 134345 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2423720064 is about 49231.2915126142. The cubic root of 2423720064 is about 1343.2622793801.

The spelling of 2423720064 in words is "two billion, four hundred twenty-three million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 134293 268586 402879 537172 805758 1074344 1611516 2148688 3223032 4297376 6311771 6446064 8594752 12623542 12892128 17189504 18935313 25247084 25784256 37870626 50494168 51568512 75741252 100988336 151482504 201976672 302965008 403953344 605930016 807906688 1211860032 2423720064