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2123382295489 = 721326722392
BaseRepresentation
bin11110111001100011011…
…100101000101111000001
321111222211011101212121211
4132321203130220233001
5234242141331423424
64303245055450121
7306260251466200
oct36714334505701
97458734355554
102123382295489
11749580a49634
122a3638526941
131253073b5c00
1474ab50b5237
153a379d8eb94
hex1ee63728bc1

2123382295489 has 81 divisors (see below), whose sum is σ = 2726601617187. Its totient is φ = 1648039000608.

The previous prime is 2123382295481. The next prime is 2123382295543. The reversal of 2123382295489 is 9845922833212.

The square root of 2123382295489 is 1457183.

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., 314109807025 + 1809272488464 = 560455^2 + 1345092^2 .

It is not a de Polignac number, because 2123382295489 - 23 = 2123382295481 is a prime.

It is a super-2 number, since 2×21233822954892 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2123382295481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8884444632 + ... + 8884444870.

Almost surely, 22123382295489 is an apocalyptic number.

2123382295489 is the 1457183-rd square number.

2123382295489 is the 728592-nd centered octagonal number.

It is an amenable number.

2123382295489 is a deficient number, since it is larger than the sum of its proper divisors (603219321698).

2123382295489 is an frugal number, since it uses more digits than its factorization.

2123382295489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 326 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 58.

The spelling of 2123382295489 in words is "two trillion, one hundred twenty-three billion, three hundred eighty-two million, two hundred ninety-five thousand, four hundred eighty-nine".

Divisors: 1 7 13 49 67 91 169 239 469 637 871 1183 1673 3107 3283 4489 6097 8281 11323 11711 16013 21749 31423 40391 42679 57121 58357 79261 112091 152243 208169 219961 282737 399847 408499 554827 742573 758641 784637 1072871 1457183 1979159 2706197 2798929 2859493 3827107 5198011 5310487 7510097 9653449 10200281 13947323 18943379 26789749 36386077 37173409 49752391 52570679 67574143 97631261 132603653 181315199 187528243 256416169 348266737 473019001 646781083 683418827 1269206393 1794913183 2437867159 3333410197 4527467581 8884444751 12564392281 23333871379 31692273067 43334332561 163337099653 303340327927 2123382295489