Search a number
-
+
8000989274404 = 227229269672
BaseRepresentation
bin111010001101110000000…
…0111111010000100100100
31001022212221200212202020001
41310123200013322010210
52022042011223240104
625003334223351044
71454023654466200
oct164334007720444
931285850782201
108000989274404
112605222950795
12a9278b152484
1346064a847429
141d936dbd7b00
15dd1cdc28aa4
hex746e01fa124

8000989274404 has 81 divisors (see below), whose sum is σ = 16871162643153. Its totient is φ = 3310278977376.

The previous prime is 8000989274381. The next prime is 8000989274413. The reversal of 8000989274404 is 4044729890008.

It is a happy number.

The square root of 8000989274404 is 2828602.

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., 4195524696804 + 3805464577600 = 2048298^2 + 1950760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1148408929 + ... + 1148415895.

Almost surely, 28000989274404 is an apocalyptic number.

8000989274404 is the 2828602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000989274404

8000989274404 is an abundant number, since it is smaller than the sum of its proper divisors (8870173368749).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8000989274404 is an frugal number, since it uses more digits than its factorization.

8000989274404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14010 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 8000989274404 in words is "eight trillion, nine hundred eighty-nine million, two hundred seventy-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2842 3364 5684 5887 6967 11774 13934 23548 27868 41209 48769 82418 97538 164836 195076 202043 341383 404086 682766 808172 1365532 1414301 2828602 5657204 5859247 9900107 11718494 19800214 23436988 39600428 41014729 48539089 82029458 97078178 164058916 194156356 287103103 339773623 574206206 679547246 1148412412 1359094492 1407633581 2378415361 2815267162 4756830722 5630534324 9513661444 9853435067 19706870134 39413740268 40821373849 68974045469 81642747698 137948090938 163285495396 275896181876 285749616943 571499233886 1142998467772 2000247318601 4000494637202 8000989274404