Search a number
-
+
6060264480000 = 28385423251
BaseRepresentation
bin101100000110000001111…
…1010010101110100000000
3210110100121020210100000000
41120030003322111310000
51243242410201330000
620520014100000000
71163561001066453
oct130140372256400
923410536710000
106060264480000
111a27164343225
1281a62a390000
1334c63282c413
1416d46584b49a
15a7994a30000
hex58303e95d00

6060264480000 has 1620 divisors, whose sum is σ = 23753245003488. Its totient is φ = 1539648000000.

The previous prime is 6060264479987. The next prime is 6060264480001. The reversal of 6060264480000 is 844620606.

It is a happy number.

6060264480000 is a `hidden beast` number, since 6 + 0 + 6 + 0 + 2 + 644 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6060264480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 24144479875 + ... + 24144480125.

Almost surely, 26060264480000 is an apocalyptic number.

6060264480000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6060264480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11876622501744).

6060264480000 is an abundant number, since it is smaller than the sum of its proper divisors (17692980523488).

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

6060264480000 is an frugal number, since it uses more digits than its factorization.

6060264480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 6060264480000 in words is "six trillion, sixty billion, two hundred sixty-four million, four hundred eighty thousand".