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12204504676 = 22721326072
BaseRepresentation
bin10110101110111000…
…11111011001100100
31011111112221002000201
423113130133121210
5144443323122201
65335012520244
7611303402200
oct132734373144
934445832021
1012204504676
1151a3141001
122447320084
1311c6638300
1483ac53b00
154b66b9801
hex2d771f664

12204504676 has 81 divisors (see below), whose sum is σ = 26947434969. Its totient is φ = 4820201568.

The previous prime is 12204504661. The next prime is 12204504691. The reversal of 12204504676 is 67640540221.

The square root of 12204504676 is 110474.

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

It is an interprime number because it is at equal distance from previous prime (12204504661) and next prime (12204504691).

It can be written as a sum of positive squares in only one way, i.e., 1805400100 + 10399104576 = 42490^2 + 101976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20105965 + ... + 20106571.

Almost surely, 212204504676 is an apocalyptic number.

12204504676 is the 110474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12204504676

12204504676 is an abundant number, since it is smaller than the sum of its proper divisors (14742930293).

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

12204504676 is an equidigital number, since it uses as much as digits as its factorization.

12204504676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 12204504676 in words is "twelve billion, two hundred four million, five hundred four thousand, six hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 607 637 676 1183 1214 1274 2366 2428 2548 4249 4732 7891 8281 8498 15782 16562 16996 29743 31564 33124 55237 59486 102583 110474 118972 205166 220948 368449 386659 410332 718081 736898 773318 1436162 1473796 1546636 2579143 2872324 4789837 5026567 5158286 9579674 10053134 10316572 18054001 19159348 20106268 33528859 36108002 62267881 67057718 72216004 124535762 134115436 234702013 249071524 435875167 469404026 871750334 938808052 1743500668 3051126169 6102252338 12204504676