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20281178992369 = 31253227412
BaseRepresentation
bin1001001110010000101000…
…11110000010111011110001
32122210212021020100021122011
410213020110132002323301
510124241323310223434
6111045013415442521
74162160344022011
oct447102436027361
978725236307564
1020281178992369
11650a2218a2779
122336765986441
13b41678a85229
145018858d9c41
15252860064e64
hex127214782ef1

20281178992369 has 27 divisors (see below), whose sum is σ = 21367176640257. Its totient is φ = 19249602247200.

The previous prime is 20281178992367. The next prime is 20281178992381. The reversal of 20281178992369 is 96329987118202.

The square root of 20281178992369 is 4503463.

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 6979767025 + 20274199225344 = 83545^2 + 4502688^2 .

It is not a de Polignac number, because 20281178992369 - 21 = 20281178992367 is a prime.

It is a super-2 number, since 2×202811789923692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20281178992363) 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, 7399188339 + ... + 7399191079.

Almost surely, 220281178992369 is an apocalyptic number.

20281178992369 is the 4503463-rd square number.

20281178992369 is the 2251732-nd centered octagonal number.

It is an amenable number.

20281178992369 is a deficient number, since it is larger than the sum of its proper divisors (1085997647888).

20281178992369 is an frugal number, since it uses more digits than its factorization.

20281178992369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 67.

The spelling of 20281178992369 in words is "twenty trillion, two hundred eighty-one billion, one hundred seventy-eight million, nine hundred ninety-two thousand, three hundred sixty-nine".

Divisors: 1 31 53 961 1643 2741 2809 50933 84971 87079 145273 2634101 2699449 4503463 7513081 7699469 139607353 232905511 238683539 398193293 7220070841 7399189709 12343992083 21104244529 382663754573 654231580399 20281178992369