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2248923128881 = 112132104872
BaseRepresentation
bin100000101110011110010…
…000111010010000110001
321221222212022121222121211
4200232132100322100301
5243321243310111011
64441050243320121
7321323261121622
oct40563620722061
97858768558554
102248923128881
11797843527900
12303a33980041
131340c34acc00
147abc4263a49
153d7764cdb21
hex20b9e43a431

2248923128881 has 27 divisors (see below), whose sum is σ = 2676989583723. Its totient is φ = 1887028263120.

The previous prime is 2248923128761. The next prime is 2248923128909. The reversal of 2248923128881 is 1888213298422.

The square root of 2248923128881 is 1499641.

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., 332680936225 + 1916242192656 = 576785^2 + 1384284^2 .

It is not a de Polignac number, because 2248923128881 - 235 = 2214563390513 is a prime.

It is a super-2 number, since 2×22489231288812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2248923108881) 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, 214443420 + ... + 214453906.

Almost surely, 22248923128881 is an apocalyptic number.

2248923128881 is the 1499641-st square number.

2248923128881 is the 749821-st centered octagonal number.

It is an amenable number.

2248923128881 is a deficient number, since it is larger than the sum of its proper divisors (428066454842).

2248923128881 is an frugal number, since it uses more digits than its factorization.

2248923128881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21022 (or 10511 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 58.

The spelling of 2248923128881 in words is "two trillion, two hundred forty-eight billion, nine hundred twenty-three million, one hundred twenty-eight thousand, eight hundred eighty-one".

Divisors: 1 11 13 121 143 169 1573 1859 10487 20449 115357 136331 1268927 1499641 1772303 16496051 19495333 109977169 214448663 1209748859 1429703197 13307237449 15726735167 18586141561 172994086837 204447557171 2248923128881