Search a number
-
+
5998936853520 = 24325131621739521
BaseRepresentation
bin101011101001011110010…
…0000000000110000010000
3210020111022020001010002200
41113102330200000300100
51241241310313303040
620431512404043200
71156260150626562
oct127227440006020
923214266033080
105998936853520
111a031535097a6
1280a773993500
1334690b013740
1416a4c8925332
15a60a5981630
hex574bc800c10

5998936853520 has 240 divisors, whose sum is σ = 21698041830192. Its totient is φ = 1476532961280.

The previous prime is 5998936853477. The next prime is 5998936853593. The reversal of 5998936853520 is 253586398995.

5998936853520 is a `hidden beast` number, since 5 + 9 + 9 + 8 + 9 + 3 + 68 + 535 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1201365060624 + 4797571792896 = 1096068^2 + 2190336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 151771360 + ... + 151810880.

Almost surely, 25998936853520 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 5998936853520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849020915096).

5998936853520 is an abundant number, since it is smaller than the sum of its proper divisors (15699104976672).

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

5998936853520 is a wasteful number, since it uses less digits than its factorization.

5998936853520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55770 (or 55761 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 5998936853520 in words is "five trillion, nine hundred ninety-eight billion, nine hundred thirty-six million, eight hundred fifty-three thousand, five hundred twenty".