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45417339541728 = 253271123122926227
BaseRepresentation
bin10100101001110100011000…
…11000111101100011100000
312221210212002111000111022200
422110322030120331203200
521423104202410313403
6240332234315333200
712365203004266530
oct1224721430754340
9187725074014280
1045417339541728
1113520427164300
125116227151200
131c45ab542430b
14b302d4c4b4c0
1553b62122dca3
hex294e8c63d8e0

45417339541728 has 864 divisors, whose sum is σ = 168216471521280. Its totient is φ = 11365886822400.

The previous prime is 45417339541723. The next prime is 45417339541753. The reversal of 45417339541728 is 82714593371454.

It is a happy number.

45417339541728 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 73 + 395 + 4 + 172 + 8 = 666.

45417339541728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45417339541723) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1731688551 + ... + 1731714777.

Almost surely, 245417339541728 is an apocalyptic number.

45417339541728 is a gapful number since it is divisible by the number (48) 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 45417339541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84108235760640).

45417339541728 is an abundant number, since it is smaller than the sum of its proper divisors (122799131979552).

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

45417339541728 is a wasteful number, since it uses less digits than its factorization.

45417339541728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26532 (or 26510 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 45417339541728 in words is "forty-five trillion, four hundred seventeen billion, three hundred thirty-nine million, five hundred forty-one thousand, seven hundred twenty-eight".