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125836406241 = 37133114869007
BaseRepresentation
bin111010100110001101…
…1110010110111100001
3110000210202101202201120
41311030123302313201
54030203104444431
6133450342522453
712043225543020
oct1651433626741
9400722352646
10125836406241
1149404409557
122047a436429
13bb354049a0
14613a52c8b7
153417576196
hex1d4c6f2de1

125836406241 has 32 divisors (see below), whose sum is σ = 213162098688. Its totient is φ = 64234105920.

The previous prime is 125836406233. The next prime is 125836406243. The reversal of 125836406241 is 142604638521.

It is not a de Polignac number, because 125836406241 - 23 = 125836406233 is a prime.

It is a super-2 number, since 2×1258364062412 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 125836406193 and 125836406202.

It is not an unprimeable number, because it can be changed into a prime (125836406243) 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, 7426041 + ... + 7442966.

It is an arithmetic number, because the mean of its divisors is an integer number (6661315584).

Almost surely, 2125836406241 is an apocalyptic number.

It is an amenable number.

125836406241 is a deficient number, since it is larger than the sum of its proper divisors (87325692447).

125836406241 is a wasteful number, since it uses less digits than its factorization.

125836406241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14869061.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 125836406241 in words is "one hundred twenty-five billion, eight hundred thirty-six million, four hundred six thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1209 2821 8463 14869007 44607021 104083049 193297091 312249147 460939217 579891273 1353079637 1382817651 3226574519 4059238911 5992209821 9679723557 17976629463 41945468747 125836406241