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124778868481 = 6124142120161
BaseRepresentation
bin111010000110101100…
…1100110111100000001
3102221002001110021122101
41310031121212330001
54021021342242411
6133153404110401
712005064611401
oct1641531467401
9387061407571
10124778868481
1148a11466803
1220224235401
13b9c72a04b7
146079cc4801
1533a47cb8c1
hex1d0d666f01

124778868481 has 16 divisors (see below), whose sum is σ = 127659493456. Its totient is φ = 121927680000.

The previous prime is 124778868437. The next prime is 124778868593. The reversal of 124778868481 is 184868877421.

It can be written as a sum of positive squares in 8 ways, for example, as 23660592400 + 101118276081 = 153820^2 + 317991^2 .

It is a 4-Lehmer number, since φ(124778868481) divides (124778868481-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 124778868481 - 217 = 124778737409 is a prime.

It is a super-3 number, since 3×1247788684813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a deceptive number, since it divides R124778868480.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124772868481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6179041 + ... + 6199201.

It is an arithmetic number, because the mean of its divisors is an integer number (7978718341).

It is a Poulet number, since it divides 2124778868480-1.

Almost surely, 2124778868481 is an apocalyptic number.

It is an amenable number.

124778868481 is a deficient number, since it is larger than the sum of its proper divisors (2880624975).

124778868481 is a wasteful number, since it uses less digits than its factorization.

124778868481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20884.

The product of its digits is 38535168, while the sum is 64.

The spelling of 124778868481 in words is "one hundred twenty-four billion, seven hundred seventy-eight million, eight hundred sixty-eight thousand, four hundred eighty-one".

Divisors: 1 61 241 421 14701 20161 25681 101461 1229821 4858801 6189121 8487781 296386861 517754641 2045555221 124778868481