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63114700007744 = 26711371492323121
BaseRepresentation
bin11100101100111000010010…
…10001100010100101000000
322021110201001221221220100022
432112130021101202211000
531233032401200221434
6342122254245113012
716202613050242460
oct1626341121424500
9267421057856308
1063114700007744
1119123880837310
1270b40753b8768
13292a8c953c758
141182aa6b03ba0
15746b58d3922e
hex396709462940

63114700007744 has 224 divisors, whose sum is σ = 161443969516800. Its totient is φ = 23764960051200.

The previous prime is 63114700007741. The next prime is 63114700007767. The reversal of 63114700007744 is 44770000741136.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 63114700007695 and 63114700007704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63114700007741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26006504 + ... + 28329624.

Almost surely, 263114700007744 is an apocalyptic number.

63114700007744 is a gapful number since it is divisible by the number (64) 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 63114700007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80721984758400).

63114700007744 is an abundant number, since it is smaller than the sum of its proper divisors (98329269509056).

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

63114700007744 is a wasteful number, since it uses less digits than its factorization.

63114700007744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323337 (or 2323327 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The spelling of 63114700007744 in words is "sixty-three trillion, one hundred fourteen billion, seven hundred million, seven thousand, seven hundred forty-four".