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5601043768320 = 21032572112131983
BaseRepresentation
bin101000110000001100000…
…1110010110010000000000
3201211110021101000002212100
41101200120032112100000
51213231414201041240
615525030050230400
71115443041332400
oct121403016262000
921743241002770
105601043768320
11186a431208700
1276562a285400
1331823a044760
141551404cc800
159aa69018e30
hex51818396400

5601043768320 has 4752 divisors, whose sum is σ = 28469265289920. Its totient is φ = 1005520158720.

The previous prime is 5601043768283. The next prime is 5601043768367. The reversal of 5601043768320 is 238673401065.

5601043768320 is a `hidden beast` number, since 5 + 601 + 0 + 4 + 3 + 7 + 6 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 67482454999 + ... + 67482455081.

Almost surely, 25601043768320 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 5601043768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234632644960).

5601043768320 is an abundant number, since it is smaller than the sum of its proper divisors (22868221521600).

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

5601043768320 is a wasteful number, since it uses less digits than its factorization.

5601043768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5601043768320 in words is "five trillion, six hundred one billion, forty-three million, seven hundred sixty-eight thousand, three hundred twenty".