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5998464299520 = 293257112615039
BaseRepresentation
bin101011101001010000001…
…0101010111001000000000
3210020110002021211212212200
41113102200111113020000
51241234323330041040
620431353443353200
71156242352163250
oct127224025271000
923213067755780
105998464299520
111a02a30798a00
1280a661682800
1334686414aca4
1416a481c75960
15a607923a630
hex574a0557200

5998464299520 has 1440 divisors, whose sum is σ = 26529806983680. Its totient is φ = 1225757491200.

The previous prime is 5998464299473. The next prime is 5998464299543. The reversal of 5998464299520 is 259924648995.

5998464299520 is a `hidden beast` number, since 5 + 9 + 9 + 8 + 4 + 6 + 4 + 2 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1190405161 + ... + 1190410199.

It is an arithmetic number, because the mean of its divisors is an integer number (18423477072).

Almost surely, 25998464299520 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 5998464299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264903491840).

5998464299520 is an abundant number, since it is smaller than the sum of its proper divisors (20531342684160).

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

5998464299520 is a wasteful number, since it uses less digits than its factorization.

5998464299520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 5998464299520 in words is "five trillion, nine hundred ninety-eight billion, four hundred sixty-four million, two hundred ninety-nine thousand, five hundred twenty".