Search a number
-
+
9877411837225 = 52232273292
BaseRepresentation
bin1000111110111100001110…
…0111111011010100101001
31021222021022210222100110101
42033233003213323110221
52243312414412242400
633001341555145401
72036422321221652
oct217570347732451
937867283870411
109877411837225
113168a945299a9
1211363852a5261
135685889b40ba
142620d8186529
15121e02b4956a
hex8fbc39fb529

9877411837225 has 27 divisors (see below), whose sum is σ = 12804133631653. Its totient is φ = 7558090749440.

The previous prime is 9877411837219. The next prime is 9877411837229. The reversal of 9877411837225 is 5227381147789.

The square root of 9877411837225 is 3142835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 265502142361 + 9611909694864 = 515269^2 + 3100308^2 .

It is not a de Polignac number, because 9877411837225 - 23 = 9877411837217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9877411837229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361412361 + ... + 361439689.

Almost surely, 29877411837225 is an apocalyptic number.

9877411837225 is the 3142835-th square number.

9877411837225 is the 1571418-th centered octagonal number.

It is an amenable number.

9877411837225 is a deficient number, since it is larger than the sum of its proper divisors (2926721794428).

9877411837225 is an frugal number, since it uses more digits than its factorization.

9877411837225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54714 (or 27357 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 64.

Multiplying 9877411837225 by its sum of digits (64), we get a square (632154357582400 = 251426802).

The spelling of 9877411837225 in words is "nine trillion, eight hundred seventy-seven billion, four hundred eleven million, eight hundred thirty-seven thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 13225 27329 136645 628567 683225 3142835 14457041 15714175 72285205 361426025 746874241 3734371205 17178107543 18671856025 85890537715 395096473489 429452688575 1975482367445 9877411837225