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6006646246260 = 22351117966176919
BaseRepresentation
bin101011101101000100000…
…0001000000101101110100
3210021020012111121211210010
41113122020001000231310
51241403102414340020
620435225403100220
71156652202450342
oct127321001005564
923236174554703
106006646246260
111a0644a238660
12810165811670
133475692970aa
1416aa1a782992
15a63a76c5de0
hex57688040b74

6006646246260 has 192 divisors, whose sum is σ = 18478226995200. Its totient is φ = 1445812262400.

The previous prime is 6006646246219. The next prime is 6006646246267. The reversal of 6006646246260 is 626426466006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006646246267) 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 63 ways as a sum of consecutive naturals, for example, 78052081 + ... + 78128999.

It is an arithmetic number, because the mean of its divisors is an integer number (96240765600).

Almost surely, 26006646246260 is an apocalyptic number.

6006646246260 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 6006646246260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239113497600).

6006646246260 is an abundant number, since it is smaller than the sum of its proper divisors (12471580748940).

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

6006646246260 is a wasteful number, since it uses less digits than its factorization.

6006646246260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77782 (or 77780 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 6006646246260 in words is "six trillion, six billion, six hundred forty-six million, two hundred forty-six thousand, two hundred sixty".