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2524987738441 = 74324292
BaseRepresentation
bin100100101111100100111…
…111110100100101001001
322221101102201220012022201
4210233210333310211021
5312332133330112231
65211544030120201
7350265356440000
oct44574477644511
98841381805281
102524987738441
1189392882aa93
12349439350061
1315414a51459c
148a2d2587c37
1545a326b0161
hex24be4ff4949

2524987738441 has 15 divisors (see below), whose sum is σ = 2945734591271. Its totient is φ = 2164208465496.

The previous prime is 2524987738309. The next prime is 2524987738451. The reversal of 2524987738441 is 1448377894252.

The square root of 2524987738441 is 1589021.

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

It can be written as a sum of positive squares in only one way, i.e., 1806392448441 + 718595290000 = 1344021^2 + 847700^2 .

It is not a de Polignac number, because 2524987738441 - 29 = 2524987737929 is a prime.

It is a super-2 number, since 2×25249877384412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2524987738451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 77845815 + ... + 77878243.

Almost surely, 22524987738441 is an apocalyptic number.

2524987738441 is the 1589021-st square number.

2524987738441 is the 794511-st centered octagonal number.

It is an amenable number.

2524987738441 is a deficient number, since it is larger than the sum of its proper divisors (420746852830).

2524987738441 is an frugal number, since it uses more digits than its factorization.

2524987738441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64886 (or 32436 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 64.

Multiplying 2524987738441 by its sum of digits (64), we get a square (161599215260224 = 127121682).

The spelling of 2524987738441 in words is "two trillion, five hundred twenty-four billion, nine hundred eighty-seven million, seven hundred thirty-eight thousand, four hundred forty-one".

Divisors: 1 7 49 343 2401 32429 227003 1589021 11123147 77862029 1051640041 7361480287 51530362009 360712534063 2524987738441