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188349924049 = 741725212
BaseRepresentation
bin1010111101101010000…
…1111100001011010001
3200000011102121111200221
42233122201330023101
511041220040032144
6222305440313041
716415325640000
oct2573241741321
9600142544627
10188349924049
1172973692761
1230606012781
13149b8815101
14918ab50c37
154d757c4d84
hex2bda87c2d1

188349924049 has 45 divisors (see below), whose sum is σ = 233862887441. Its totient is φ = 151654513920.

The previous prime is 188349924029. The next prime is 188349924073. The reversal of 188349924049 is 940429943881.

The square root of 188349924049 is 433993.

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 1061782225 + 187288141824 = 32585^2 + 432768^2 .

It is not a de Polignac number, because 188349924049 - 217 = 188349792977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188349924029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 361515909 + ... + 361516429.

Almost surely, 2188349924049 is an apocalyptic number.

188349924049 is the 433993-rd square number.

188349924049 is the 216997-th centered octagonal number.

It is an amenable number.

188349924049 is a deficient number, since it is larger than the sum of its proper divisors (45512963392).

188349924049 is an frugal number, since it uses more digits than its factorization.

188349924049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 188349924049 in words is "one hundred eighty-eight billion, three hundred forty-nine million, nine hundred twenty-four thousand, forty-nine".

Divisors: 1 7 17 49 119 289 343 521 833 2023 2401 3647 5831 8857 14161 25529 40817 61999 99127 150569 178703 271441 433993 693889 1053983 1250921 1900087 3037951 4614497 7377881 13300609 21265657 32301479 51645167 78446449 93104263 226110353 361516169 549125143 651729841 1582772471 3843876001 11079407297 26907132007 188349924049