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903243052881 = 3413281232
BaseRepresentation
bin11010010010011010111…
…10110011011101010001
310012100102120011020110000
431021031132303131101
5104244320210143011
61530535533200213
7122154130162131
oct15111536633521
93170376136400
10903243052881
11319077179494
1212707a330069
136723861cc00
1431a07dbaac1
15187670d1356
hexd24d7b3751

903243052881 has 45 divisors (see below), whose sum is σ = 1461244315179. Its totient is φ = 555773450544.

The previous prime is 903243052867. The next prime is 903243052891. The reversal of 903243052881 is 188250342309.

The square root of 903243052881 is 950391.

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

903243052881 is a `hidden beast` number, since 9 + 0 + 3 + 2 + 43 + 0 + 528 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133615836225 + 769627216656 = 365535^2 + 877284^2 .

It is not a de Polignac number, because 903243052881 - 219 = 903242528593 is a prime.

It is a super-2 number, since 2×9032430528812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (903243052891) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 111191686 + ... + 111199808.

Almost surely, 2903243052881 is an apocalyptic number.

903243052881 is the 950391-st square number.

903243052881 is the 475196-th centered octagonal number.

It is an amenable number.

903243052881 is a deficient number, since it is larger than the sum of its proper divisors (558001262298).

903243052881 is an frugal number, since it uses more digits than its factorization.

903243052881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16284 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 903243052881 in words is "nine hundred three billion, two hundred forty-three million, fifty-two thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 8123 13689 24369 73107 105599 219321 316797 657963 950391 1372787 2851173 4118361 8553519 12355083 37065249 65983129 111195747 197949387 593848161 857780677 1781544483 2573342031 5344633449 7720026093 11151148801 23160078279 33453446403 69480234837 100360339209 301081017627 903243052881