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12690014208177 = 31311671571123077
BaseRepresentation
bin1011100010101001111111…
…0010100000000010110001
31122221011010220112201100210
42320222133302200002301
53130403122114130202
642553413445134333
72446552245011235
oct270523762400261
948834126481323
1012690014208177
114052894213289
12150b4b00ba3a9
137108810a5467
1431c2b29bc5c5
1517016a4c4c6c
hexb8a9fca00b1

12690014208177 has 32 divisors (see below), whose sum is σ = 17162327153664. Its totient is φ = 8339777451200.

The previous prime is 12690014208167. The next prime is 12690014208341. The reversal of 12690014208177 is 77180241009621.

It is a cyclic number.

It is not a de Polignac number, because 12690014208177 - 212 = 12690014204081 is a prime.

It is a super-2 number, since 2×126900142081772 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12690014208107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103044763 + ... + 103167839.

It is an arithmetic number, because the mean of its divisors is an integer number (536322723552).

Almost surely, 212690014208177 is an apocalyptic number.

It is an amenable number.

12690014208177 is a deficient number, since it is larger than the sum of its proper divisors (4472312945487).

12690014208177 is a wasteful number, since it uses less digits than its factorization.

12690014208177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124949.

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 12690014208177 in words is "twelve trillion, six hundred ninety billion, fourteen million, two hundred eight thousand, one hundred seventy-seven".

Divisors: 1 3 131 167 393 501 1571 4713 21877 65631 123077 205801 262357 369231 617403 787071 16123087 20553859 34368767 48369261 61661577 103106301 193353967 580061901 2692555529 8077666587 25329369677 32290112489 75988109031 96870337467 4230004736059 12690014208177