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124991238681 = 3219126172
BaseRepresentation
bin111010001101000001…
…1101111001000011001
3102221121212001210210100
41310122003233020121
54021440224114211
6133230432010013
712013253666451
oct1643203571031
9387555053710
10124991238681
1149010328671
1220283390909
13ba2c29913a
14609a1a6d61
1533b827b156
hex1d1a0ef219

124991238681 has 27 divisors (see below), whose sum is σ = 181787730943. Its totient is φ = 82756877280.

The previous prime is 124991238667. The next prime is 124991238763. The reversal of 124991238681 is 186832199421.

It is a happy number.

The square root of 124991238681 is 353541.

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

124991238681 is a `hidden beast` number, since 1 + 249 + 9 + 12 + 386 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3619827225 + 121371411456 = 60165^2 + 348384^2 .

It is not a de Polignac number, because 124991238681 - 27 = 124991238553 is a prime.

It is a super-2 number, since 2×1249912386812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124991238661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202578685 + ... + 202579301.

Almost surely, 2124991238681 is an apocalyptic number.

124991238681 is the 353541-st square number.

124991238681 is the 176771-st centered octagonal number.

It is an amenable number.

124991238681 is a deficient number, since it is larger than the sum of its proper divisors (56796492262).

124991238681 is an frugal number, since it uses more digits than its factorization.

124991238681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 811 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 124991238681 in words is "one hundred twenty-four billion, nine hundred ninety-one million, two hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 191 573 617 1719 1851 5553 36481 109443 117847 328329 353541 380689 1060623 1142067 3426201 22508777 67526331 72711599 202578993 218134797 654404391 13887915409 41663746227 124991238681