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5414505100000 = 25551741131593
BaseRepresentation
bin100111011001010100110…
…1001110011001011100000
3201011121210011120220220221
41032302221221303023200
51202202401301200000
615303220031212424
71066120324656343
oct116625151631340
921147704526827
105414505100000
1117a8307a78207
1273544a977114
1330377c8609c9
1414a0c614445a
1595c9c77261a
hex4eca9a732e0

5414505100000 has 576 divisors, whose sum is σ = 14586629770944. Its totient is φ = 1970176000000.

The previous prime is 5414505099923. The next prime is 5414505100001. The reversal of 5414505100000 is 15054145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414505100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9130699704 + ... + 9130700296.

It is an arithmetic number, because the mean of its divisors is an integer number (25324010019).

Almost surely, 25414505100000 is an apocalyptic number.

5414505100000 is a gapful number since it is divisible by the number (50) 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 5414505100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293314885472).

5414505100000 is an abundant number, since it is smaller than the sum of its proper divisors (9172124670944).

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

5414505100000 is a wasteful number, since it uses less digits than its factorization.

5414505100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 5414505100000 in words is "five trillion, four hundred fourteen billion, five hundred five million, one hundred thousand".