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172660313227428 = 2232132291611058049
BaseRepresentation
bin100111010000100010011100…
…101000110000000010100100
3211122100011110002121121112200
4213100202130220300002210
5140112331310141234203
61411115015231214500
751240203343136515
oct4720423450600244
9748304402547480
10172660313227428
1150018911632084
1217446885677430
137545a4a64b060
14308cb376b8a0c
1514e64570d69a3
hex9d089ca300a4

172660313227428 has 72 divisors (see below), whose sum is σ = 472072229811000. Its totient is φ = 52894257831936.

The previous prime is 172660313227421. The next prime is 172660313227489. The reversal of 172660313227428 is 824722313066271.

172660313227428 is a `hidden beast` number, since 1 + 7 + 2 + 6 + 60 + 3 + 132 + 27 + 428 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46625517010944 + 126034796216484 = 6828288^2 + 11226522^2 .

It is not an unprimeable number, because it can be changed into a prime (172660313227421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805421853 + ... + 805636196.

It is an arithmetic number, because the mean of its divisors is an integer number (6556558747375).

Almost surely, 2172660313227428 is an apocalyptic number.

172660313227428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172660313227428 is an abundant number, since it is smaller than the sum of its proper divisors (299411916583572).

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

172660313227428 is a wasteful number, since it uses less digits than its factorization.

172660313227428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611058301 (or 1611058296 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 172660313227428 in words is "one hundred seventy-two trillion, six hundred sixty billion, three hundred thirteen million, two hundred twenty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 11908 17862 26793 35724 53586 107172 1611058049 3222116098 4833174147 6444232196 9666348294 14499522441 19332696588 20943754637 28999044882 41887509274 57998089764 62831263911 83775018548 125662527822 188493791733 251325055644 368932293221 376987583466 737864586442 753975166932 1106796879663 1475729172884 2213593759326 3320390638989 4427187518652 4796119811873 6640781277978 9592239623746 13281562555956 14388359435619 19184479247492 28776718871238 43165078306857 57553437742476 86330156613714 172660313227428