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242519933096064 = 273213194719991127
BaseRepresentation
bin110111001001001000010010…
…011101101001000010000000
31011210200200100010020211101200
4313021020102131221002000
5223241421310333033224
62215444041425301200
7102040326011312541
oct6711102235510200
91153620303224350
10242519933096064
1170302142829808
1223249ba2a94800
13a5426baab9b70
1443c60552404c8
151d0877781e5c9
hexdc9212769080

242519933096064 has 768 divisors, whose sum is σ = 812016092160000. Its totient is φ = 68841496829952.

The previous prime is 242519933096059. The next prime is 242519933096069. The reversal of 242519933096064 is 460690339915242.

242519933096064 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 19 + 9 + 3 + 3 + 0 + 9 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (242519933096059) and next prime (242519933096069).

It is a junction number, because it is equal to n+sod(n) for n = 242519933095992 and 242519933096010.

It is not an unprimeable number, because it can be changed into a prime (242519933096069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2661294469 + ... + 2661385595.

It is an arithmetic number, because the mean of its divisors is an integer number (1057312620000).

Almost surely, 2242519933096064 is an apocalyptic number.

242519933096064 is a gapful number since it is divisible by the number (24) 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 242519933096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406008046080000).

242519933096064 is an abundant number, since it is smaller than the sum of its proper divisors (569496159063936).

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

242519933096064 is a wasteful number, since it uses less digits than its factorization.

242519933096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91425 (or 91410 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 242519933096064 in words is "two hundred forty-two trillion, five hundred nineteen billion, nine hundred thirty-three million, ninety-six thousand, sixty-four".