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181473444009 = 341121323312
BaseRepresentation
bin1010100100000010101…
…0010000000010101001
3122100102012022010110000
42221000222100002221
510433124200202014
6215211233413213
716053036552144
oct2510052200251
9570365263400
10181473444009
116aa65034500
122b20710a209
1314160c99300
148ad778905b
154ac1c59509
hex2a40a900a9

181473444009 has 135 divisors (see below), whose sum is σ = 323636972967. Its totient is φ = 101216887200.

The previous prime is 181473443989. The next prime is 181473444011. The reversal of 181473444009 is 900444374181.

The square root of 181473444009 is 425997.

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., 26845184025 + 154628259984 = 163845^2 + 393228^2 .

It is not a de Polignac number, because 181473444009 - 27 = 181473443881 is a prime.

It is a super-2 number, since 2×1814734440092 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (181473544009) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 548257974 + ... + 548258304.

Almost surely, 2181473444009 is an apocalyptic number.

181473444009 is the 425997-th square number.

181473444009 is the 212999-th centered octagonal number.

It is an amenable number.

181473444009 is a deficient number, since it is larger than the sum of its proper divisors (142163528958).

181473444009 is an equidigital number, since it uses as much as digits as its factorization.

181473444009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 181473444009 in words is "one hundred eighty-one billion, four hundred seventy-three million, four hundred forty-four thousand, nine".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 169 297 331 351 363 429 507 891 993 1053 1089 1287 1521 1573 1859 2979 3267 3641 3861 4303 4563 4719 5577 8937 9801 10923 11583 12909 13689 14157 16731 20449 26811 32769 38727 40051 42471 47333 50193 55939 61347 98307 109561 116181 120153 127413 141999 150579 167817 184041 294921 328683 348543 360459 425997 503451 520663 552123 615329 986049 1081377 1205171 1277991 1424293 1510353 1561989 1656369 1845987 2958147 3244131 3615513 3833973 4272879 4531059 4685967 5537961 6768619 8874441 10846539 12818637 13256881 14057901 15667223 16613883 18515809 20305857 32539617 38455911 39770643 42173703 47001669 49841649 55547427 60917571 97618851 115367733 119311929 141005007 166642281 172339453 182752713 203673899 357935787 423015021 499926843 517018359 548258139 611021697 1073807361 1269045063 1499780529 1551055077 1833065091 2240412889 4653165231 5499195273 6721238667 13959495693 16497585819 20163716001 60491148003 181473444009