Search a number
-
+
2489975944560 = 243451344965831
BaseRepresentation
bin100100001110111110001…
…000011011010101110000
322211001001201000210020000
4210032332020123111300
5311243432320211220
65143513521550000
7344615632213116
oct44167610332560
98731051023200
102489975944560
1187aaa1564045
123426a7aa5300
13150a5aa216a0
148873068bab6
1544b83aa0390
hex243be21b570

2489975944560 has 400 divisors, whose sum is σ = 9334174449600. Its totient is φ = 611542794240.

The previous prime is 2489975944541. The next prime is 2489975944607. The reversal of 2489975944560 is 654495799842.

2489975944560 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 9 + 7 + 59 + 4 + 4 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37790845 + ... + 37856675.

It is an arithmetic number, because the mean of its divisors is an integer number (23335436124).

Almost surely, 22489975944560 is an apocalyptic number.

2489975944560 is a gapful number since it is divisible by the number (20) 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 2489975944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667087224800).

2489975944560 is an abundant number, since it is smaller than the sum of its proper divisors (6844198505040).

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

2489975944560 is a wasteful number, since it uses less digits than its factorization.

2489975944560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66318 (or 66303 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 2489975944560 in words is "two trillion, four hundred eighty-nine billion, nine hundred seventy-five million, nine hundred forty-four thousand, five hundred sixty".