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118751125495401 = 34721729732
BaseRepresentation
bin11011000000000011100110…
…101001101101111001101001
3120120110111102010001211210000
4123000003212221231321221
5111031104301111323101
61100321303002013213
734004325410066100
oct3300034651557151
9516414363054700
10118751125495401
1134924084563463
121139a91b7a7209
13513524c30b779
1421478298ad037
15dadec8ce5486
hex6c00e6a6de69

118751125495401 has 45 divisors (see below), whose sum is σ = 206357079255591. Its totient is φ = 67857393694608.

The previous prime is 118751125495307. The next prime is 118751125495411. The reversal of 118751125495401 is 104594521157811.

It is a happy number.

The square root of 118751125495401 is 10897299.

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

118751125495401 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 51 + 1 + 2 + 5 + 49 + 540 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5054200904025 + 113696924591376 = 2248155^2 + 10662876^2 .

It is not a de Polignac number, because 118751125495401 - 27 = 118751125495273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (118751125495411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 686443351 + ... + 686616323.

Almost surely, 2118751125495401 is an apocalyptic number.

118751125495401 is the 10897299-th square number.

118751125495401 is the 5448650-th centered octagonal number.

It is an amenable number.

118751125495401 is a deficient number, since it is larger than the sum of its proper divisors (87605953760190).

118751125495401 is an frugal number, since it uses more digits than its factorization.

118751125495401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345972 (or 172983 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 54.

The spelling of 118751125495401 in words is "one hundred eighteen trillion, seven hundred fifty-one billion, one hundred twenty-five million, four hundred ninety-five thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 172973 518919 1210811 1556757 3632433 4670271 8475677 10897299 14010813 25427031 32691897 76281093 98075691 228843279 686529837 29919658729 89758976187 209437611103 269276928561 628312833309 807830785683 1466063277721 1884938499927 2423492357049 4398189833163 5654815499781 13194569499489 16964446499343 39583708498467 118751125495401