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5645381280 = 25357112329229
BaseRepresentation
bin1010100000111110…
…11010111010100000
3112120102210002020120
411100133122322200
543030204200110
62332104040240
7256616643360
oct52037327240
915512702216
105645381280
112437741570
121116763080
136bc7864c6
143b7a9c9a0
1523093a870
hex1507daea0

5645381280 has 768 divisors, whose sum is σ = 24037171200. Its totient is φ = 1078640640.

The previous prime is 5645381249. The next prime is 5645381293. The reversal of 5645381280 is 821835465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24652206 + ... + 24652434.

It is an arithmetic number, because the mean of its divisors is an integer number (31298400).

Almost surely, 25645381280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5645381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12018585600).

5645381280 is an abundant number, since it is smaller than the sum of its proper divisors (18391789920).

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

5645381280 is a wasteful number, since it uses less digits than its factorization.

5645381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5645381280 is about 75135.7523420109. The cubic root of 5645381280 is about 1780.5920346858.

The spelling of 5645381280 in words is "five billion, six hundred forty-five million, three hundred eighty-one thousand, two hundred eighty".