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4218019979472 = 24321379157181667
BaseRepresentation
bin111101011000010101100…
…101010010000011010000
3112221020110001202012010200
4331120111211102003100
51023102001103320342
612545422010455200
7613512316154325
oct75302545220320
915836401665120
104218019979472
111386941351092
12581592434500
132479b0522150
1410822076cb4c
1574ac143294c
hex3d6159520d0

4218019979472 has 240 divisors, whose sum is σ = 12955631619840. Its totient is φ = 1273254847488.

The previous prime is 4218019979441. The next prime is 4218019979477. The reversal of 4218019979472 is 2749799108124.

4218019979472 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 0 + 1 + 99 + 79 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218019979477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23127583 + ... + 23309249.

It is an arithmetic number, because the mean of its divisors is an integer number (53981798416).

Almost surely, 24218019979472 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 4218019979472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477815809920).

4218019979472 is an abundant number, since it is smaller than the sum of its proper divisors (8737611640368).

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

4218019979472 is a wasteful number, since it uses less digits than its factorization.

4218019979472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181930 (or 181921 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 4218019979472 in words is "four trillion, two hundred eighteen billion, nineteen million, nine hundred seventy-nine thousand, four hundred seventy-two".