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9270204179401 = 1124124321572
BaseRepresentation
bin1000011011100110001100…
…1110100010001111001001
31012211020000110122100012101
42012321203032202033021
52203340334232220101
631414401211513401
71644515205254164
oct206714316421711
935736013570171
109270204179401
112a54520649400
121058764758861
1352323aa14c09
1424097496cadb
15111215144401
hex86e633a23c9

9270204179401 has 81 divisors (see below), whose sum is σ = 10761226663509. Its totient is φ = 7979552380800.

The previous prime is 9270204179399. The next prime is 9270204179429. The reversal of 9270204179401 is 1049714020729.

It is a happy number.

The square root of 9270204179401 is 3044701.

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 4560766004025 + 4709438175376 = 2135595^2 + 2170124^2 .

It is not a de Polignac number, because 9270204179401 - 21 = 9270204179399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9270204179471) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59045886415 + ... + 59045886571.

Almost surely, 29270204179401 is an apocalyptic number.

9270204179401 is the 3044701-st square number.

9270204179401 is the 1522351-st centered octagonal number.

It is an amenable number.

9270204179401 is a deficient number, since it is larger than the sum of its proper divisors (1491022484108).

9270204179401 is an equidigital number, since it uses as much as digits as its factorization.

9270204179401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 9270204179401 in words is "nine trillion, two hundred seventy billion, two hundred four million, one hundred seventy-nine thousand, four hundred one".

Divisors: 1 11 41 43 121 157 451 473 1681 1727 1763 1849 4961 5203 6437 6751 18491 18997 19393 20339 24649 70807 72283 74261 75809 203401 213323 223729 263917 271139 276791 290293 778877 795113 816871 833899 1010609 1059907 2903087 2982529 3044701 3108169 3193223 8746243 9172889 11116699 11348431 11658977 11902013 31933957 33491711 34189859 35125453 41434969 43456187 45576001 122283689 124832741 128248747 130922143 376088449 455784659 478018057 487982533 501336011 1373160151 1440143573 1781703667 1868616041 5013631249 5258198627 5367807863 5514696121 19598740337 20554776451 59045886493 76613257681 215586143707 226102540961 842745834491 9270204179401