Search a number
-
+
5993908980840 = 23335115360715683
BaseRepresentation
bin101011100111001000011…
…0100001100110001101000
3210020000022211012201102000
41113032100310030301220
51241201011144341330
620425321435211000
71156021436463624
oct127162064146150
923200284181360
105993908980840
111a010033a4620
128097abba6a60
133462b9476251
1416a16cc8a184
15a5dae371560
hex57390d0cc68

5993908980840 has 512 divisors, whose sum is σ = 22245282201600. Its totient is φ = 1423213009920.

The previous prime is 5993908980803. The next prime is 5993908980863. The reversal of 5993908980840 is 480898093995.

It is a happy number.

5993908980840 is a `hidden beast` number, since 5 + 9 + 9 + 390 + 89 + 80 + 84 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 382183639 + ... + 382199321.

It is an arithmetic number, because the mean of its divisors is an integer number (43447816800).

Almost surely, 25993908980840 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 5993908980840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122641100800).

5993908980840 is an abundant number, since it is smaller than the sum of its proper divisors (16251373220760).

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

5993908980840 is a wasteful number, since it uses less digits than its factorization.

5993908980840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16374 (or 16364 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 5993908980840 in words is "five trillion, nine hundred ninety-three billion, nine hundred eight million, nine hundred eighty thousand, eight hundred forty".