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264401114126131 = 3761117147148483
BaseRepresentation
bin111100000111100010101110…
…011111000101011100110011
31021200011111111020201010012101
4330013202232133011130303
5234123421440204014011
62334200110041441231
7106456231042266463
oct7407425637053463
91250144436633171
10264401114126131
1177278979001914
12257a285a1a0217
13b46bbc202c758
1449411217d7ba3
152087a2e21c2c1
hexf078ae7c5733

264401114126131 has 8 divisors (see below), whose sum is σ = 275998681828304. Its totient is φ = 253037840721120.

The previous prime is 264401114126087. The next prime is 264401114126153. The reversal of 264401114126131 is 131621411104462.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 264401114126131 - 243 = 255605021103923 is a prime.

It is a super-2 number, since 2×2644011141261312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264401114156131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58573571985 + ... + 58573576498.

It is an arithmetic number, because the mean of its divisors is an integer number (34499835228538).

Almost surely, 2264401114126131 is an apocalyptic number.

264401114126131 is a deficient number, since it is larger than the sum of its proper divisors (11597567702173).

264401114126131 is a wasteful number, since it uses less digits than its factorization.

264401114126131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117147148581.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 264401114126131 in words is "two hundred sixty-four trillion, four hundred one billion, one hundred fourteen million, one hundred twenty-six thousand, one hundred thirty-one".

Divisors: 1 37 61 2257 117147148483 4334444493871 7145976057463 264401114126131