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4493894457024 = 2632721972711527
BaseRepresentation
bin100000101100101000011…
…1110111001011011000000
3120220121112020020200202100
41001121100332321123000
51042111443440111044
613320244442150400
7642446615424600
oct101312076713300
916817466220670
104493894457024
1114829392a1285
12606b441b2400
13267a07045c8b
1411771171cc00
157bd6aaa8869
hex41650fb96c0

4493894457024 has 504 divisors, whose sum is σ = 15795641621760. Its totient is φ = 1214613937152.

The previous prime is 4493894457001. The next prime is 4493894457037. The reversal of 4493894457024 is 4207544983944.

4493894457024 is a `hidden beast` number, since 4 + 4 + 9 + 38 + 9 + 4 + 4 + 570 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 389852349 + ... + 389863875.

Almost surely, 24493894457024 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 4493894457024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7897820810880).

4493894457024 is an abundant number, since it is smaller than the sum of its proper divisors (11301747164736).

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

4493894457024 is a wasteful number, since it uses less digits than its factorization.

4493894457024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12305 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4493894457024 in words is "four trillion, four hundred ninety-three billion, eight hundred ninety-four million, four hundred fifty-seven thousand, twenty-four".