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2545982544864 = 2531130741918743
BaseRepresentation
bin100101000011001000011…
…000101001101111100000
3100000101121220022212102210
4211003020120221233200
5313203133012413424
65225335213442120
7351640551364113
oct45031030515740
910011556285383
102545982544864
118a1821855880
123515184a0340
1315611502b475
148b324a2857a
1546360933729
hex250c8629be0

2545982544864 has 192 divisors, whose sum is σ = 7332364892160. Its totient is φ = 767120555520.

The previous prime is 2545982544851. The next prime is 2545982544877. The reversal of 2545982544864 is 4684452895452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2545982544851) and next prime (2545982544877).

It is a super-3 number, since 3×25459825448643 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2545982544795 and 2545982544804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135827077 + ... + 135845819.

It is an arithmetic number, because the mean of its divisors is an integer number (38189400480).

Almost surely, 22545982544864 is an apocalyptic number.

2545982544864 is a gapful number since it is divisible by the number (24) 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 2545982544864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666182446080).

2545982544864 is an abundant number, since it is smaller than the sum of its proper divisors (4786382347296).

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

2545982544864 is a wasteful number, since it uses less digits than its factorization.

2545982544864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19493 (or 19485 counting only the distinct ones).

The product of its digits is 442368000, while the sum is 66.

The spelling of 2545982544864 in words is "two trillion, five hundred forty-five billion, nine hundred eighty-two million, five hundred forty-four thousand, eight hundred sixty-four".