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4493475290304 = 263471121378721
BaseRepresentation
bin100000101100011011111…
…1111111001110011000000
3120220120110000111211010000
41001120313333321303000
51042110114133242204
613320135110040000
7642433335524310
oct101306777716300
916816400454100
104493475290304
111482743725100
12606a47949000
1326796b253630
141176b1ba9440
157bd43dab039
hex41637ff9cc0

4493475290304 has 840 divisors, whose sum is σ = 18020003628704. Its totient is φ = 1077343027200.

The previous prime is 4493475290299. The next prime is 4493475290333. The reversal of 4493475290304 is 4030925743944.

4493475290304 is a `hidden beast` number, since 4 + 4 + 9 + 3 + 47 + 5 + 290 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57041664 + ... + 57120384.

Almost surely, 24493475290304 is an apocalyptic number.

4493475290304 is a gapful number since it is divisible by the number (44) 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 4493475290304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010001814352).

4493475290304 is an abundant number, since it is smaller than the sum of its proper divisors (13526528338400).

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

4493475290304 is a wasteful number, since it uses less digits than its factorization.

4493475290304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78787 (or 78757 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 4493475290304 in words is "four trillion, four hundred ninety-three billion, four hundred seventy-five million, two hundred ninety thousand, three hundred four".