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56603544063040 = 26513417924117431
BaseRepresentation
bin11001101111011000010100…
…01000110000110001000000
321102102020122022022221001101
430313230022020300301000
524404343024240004130
6320215150440144144
714631320406006532
oct1467541210606100
9242366568287041
1056603544063040
1117043478a77057
126422190468054
1325778caa368a0
14dd98aa229852
156825c4b781ca
hex337b0a230c40

56603544063040 has 448 divisors, whose sum is σ = 151211516037120. Its totient is φ = 20047233024000.

The previous prime is 56603544062981. The next prime is 56603544063049. The reversal of 56603544063040 is 4036044530665.

It is a super-2 number, since 2×566035440630402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56603544063049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3247283125 + ... + 3247300555.

It is an arithmetic number, because the mean of its divisors is an integer number (337525705440).

Almost surely, 256603544063040 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 56603544063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75605758018560).

56603544063040 is an abundant number, since it is smaller than the sum of its proper divisors (94607971974080).

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

56603544063040 is a wasteful number, since it uses less digits than its factorization.

56603544063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17822 (or 17812 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 56603544063040 in words is "fifty-six trillion, six hundred three billion, five hundred forty-four million, sixty-three thousand, forty".