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2292986376121 = 72137215792
BaseRepresentation
bin100001010111100000101…
…000110110111110111001
322010012121011101212110211
4201113200220312332321
5300032014003013441
64513214451511121
7324443224416400
oct41274050667671
98105534355424
102292986376121
118044a5038711
123104905b84a1
131382c62c9b7c
147cda432a637
153e9a4a80a81
hex215e0a36fb9

2292986376121 has 27 divisors (see below), whose sum is σ = 2688666096879. Its totient is φ = 1949835148128.

The previous prime is 2292986376073. The next prime is 2292986376133. The reversal of 2292986376121 is 1216736892922.

The square root of 2292986376121 is 1514261.

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., 1346911119225 + 946075256896 = 1160565^2 + 972664^2 .

It is not a de Polignac number, because 2292986376121 - 227 = 2292852158393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2292986376181) 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, 1452175510 + ... + 1452177088.

Almost surely, 22292986376121 is an apocalyptic number.

2292986376121 is the 1514261-st square number.

2292986376121 is the 757131-st centered octagonal number.

It is an amenable number.

2292986376121 is a deficient number, since it is larger than the sum of its proper divisors (395679720758).

2292986376121 is an frugal number, since it uses more digits than its factorization.

2292986376121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 1723 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 58.

The spelling of 2292986376121 in words is "two trillion, two hundred ninety-two billion, nine hundred eighty-six million, three hundred seventy-six thousand, one hundred twenty-one".

Divisors: 1 7 49 137 959 1579 6713 11053 18769 77371 131383 216323 919681 1514261 2493241 10599827 17452687 29636251 122168809 207453757 341574017 1452176299 2391018119 16737126833 46795640329 327569482303 2292986376121