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500500142216064 = 27324013118134747
BaseRepresentation
bin111000111001100111100010…
…1001011111101001110000000
32102122010100100110101200102200
41301303033011023331032000
51011100143242401403224
64532250331405113200
7210264641046564324
oct16163170513751600
92378110313350380
10500500142216064
11135524a112a6301
1248174344b58800
1318636c65116683
148b8449c4dd984
153cce255c745c9
hex1c733c52fd380

500500142216064 has 192 divisors, whose sum is σ = 1443920777797680. Its totient is φ = 166407211008000.

The previous prime is 500500142216057. The next prime is 500500142216101. The reversal of 500500142216064 is 460612241005005.

500500142216064 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 0 + 0 + 1 + 42 + 2 + 1 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14404107939 + ... + 14404142685.

Almost surely, 2500500142216064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500500142216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721960388898840).

500500142216064 is an abundant number, since it is smaller than the sum of its proper divisors (943420635581616).

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

500500142216064 is a wasteful number, since it uses less digits than its factorization.

500500142216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66349 (or 66334 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 500500142216064 in words is "five hundred trillion, five hundred billion, one hundred forty-two million, two hundred sixteen thousand, sixty-four".