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2485957662864 = 243613211232
BaseRepresentation
bin100100001011001110100…
…111111001100010010000
322210122200122220221000000
4210023032213321202100
5311212220130202424
65142011100130000
7344414230325124
oct44131647714220
98718618827000
102485957662864
1187931a323585
12341966236900
1315056a39ba00
148846cb39584
15449eae183c9
hex242ce9f9890

2485957662864 has 315 divisors, whose sum is σ = 7826712067017. Its totient is φ = 764228919168.

The previous prime is 2485957662823. The next prime is 2485957662887. The reversal of 2485957662864 is 4682667595842.

The square root of 2485957662864 is 1576692.

It is a perfect power (a square), and thus also a powerful number.

2485957662864 is a `hidden beast` number, since 2 + 4 + 8 + 595 + 7 + 6 + 6 + 28 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 367745216400 + 2118212446464 = 606420^2 + 1455408^2 .

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 = 2485957662792 and 2485957662801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2213675007 + ... + 2213676129.

Almost surely, 22485957662864 is an apocalyptic number.

2485957662864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2485957662864 is the 1576692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2485957662864

2485957662864 is an abundant number, since it is smaller than the sum of its proper divisors (5340754404153).

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

2485957662864 is an frugal number, since it uses more digits than its factorization.

2485957662864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 1141 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 2485957662864 in words is "two trillion, four hundred eighty-five billion, nine hundred fifty-seven million, six hundred sixty-two thousand, eight hundred sixty-four".