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2545149847968 = 2533721321272801
BaseRepresentation
bin100101000010010110110…
…000001010100110100000
3100000022110212110111001000
4211002112300022212200
5313144431330113333
65225120430112000
7351611120520300
oct45022660124640
910008425414030
102545149847968
118a1434812322
1235132564b600
1315601166ac00
148b2861cb600
154631279d713
hex25096c0a9a0

2545149847968 has 864 divisors, whose sum is σ = 9427674654720. Its totient is φ = 665725132800.

The previous prime is 2545149847913. The next prime is 2545149847987. The reversal of 2545149847968 is 8697489415452.

It is a happy number.

2545149847968 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 1 + 4 + 98 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×25451498479682 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2545149847896 and 2545149847905.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 908656168 + ... + 908658968.

It is an arithmetic number, because the mean of its divisors is an integer number (10911660480).

Almost surely, 22545149847968 is an apocalyptic number.

2545149847968 is a gapful number since it is divisible by the number (28) 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 2545149847968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713837327360).

2545149847968 is an abundant number, since it is smaller than the sum of its proper divisors (6882524806752).

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

2545149847968 is a wasteful number, since it uses less digits than its factorization.

2545149847968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2953 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 2545149847968 in words is "two trillion, five hundred forty-five billion, one hundred forty-nine million, eight hundred forty-seven thousand, nine hundred sixty-eight".