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4241660556672 = 27347115990053
BaseRepresentation
bin111101101110010110101…
…010111011010110000000
3120000111110121122221110000
4331232112222323112000
51023443410100303142
613004331510240000
7615310205564040
oct75562652732600
916014417587400
104241660556672
1113959728936a0
1258608b656000
13249caa216376
14109424367720
1575506ac814c
hex3db96abb580

4241660556672 has 640 divisors, whose sum is σ = 16004829139200. Its totient is φ = 1083044597760.

The previous prime is 4241660556629. The next prime is 4241660556673. The reversal of 4241660556672 is 2766550661424.

4241660556672 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 6 + 6 + 0 + 5 + 566 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241660556673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47056798 + ... + 47146850.

It is an arithmetic number, because the mean of its divisors is an integer number (25007545530).

Almost surely, 24241660556672 is an apocalyptic number.

4241660556672 is a gapful number since it is divisible by the number (42) 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 4241660556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002414569600).

4241660556672 is an abundant number, since it is smaller than the sum of its proper divisors (11763168582528).

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

4241660556672 is a wasteful number, since it uses less digits than its factorization.

4241660556672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90156 (or 90135 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4241660556672 in words is "four trillion, two hundred forty-one billion, six hundred sixty million, five hundred fifty-six thousand, six hundred seventy-two".