Search a number
-
+
24264137131 = 13193116319441
BaseRepresentation
bin10110100110010000…
…010101100110101011
32022122000020212201121
4112212100111212223
5344143104342011
615051412400111
71516200522403
oct264620254653
968560225647
1024264137131
11a3215223a3
124852016037
132398c4b6c0
141262755803
159702b8e71
hex5a64159ab

24264137131 has 32 divisors (see below), whose sum is σ = 28568852480. Its totient is φ = 20407334400.

The previous prime is 24264137123. The next prime is 24264137171. The reversal of 24264137131 is 13173146242.

It is a 13-Lehmer number, since φ(24264137131) divides (24264137131-1)13.

It is a cyclic number.

It is not a de Polignac number, because 24264137131 - 23 = 24264137123 is a prime.

It is a super-2 number, since 2×242641371312 (a number of 22 digits) contains 22 as substring.

It is the 155770-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24264137171) by changing a digit.

It is a nontrivial repunit in base 155769.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238371 + ... + 1257811.

It is an arithmetic number, because the mean of its divisors is an integer number (892776640).

Almost surely, 224264137131 is an apocalyptic number.

24264137131 is a deficient number, since it is larger than the sum of its proper divisors (4304715349).

24264137131 is a wasteful number, since it uses less digits than its factorization.

24264137131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19667.

The product of its digits is 24192, while the sum is 34.

The spelling of 24264137131 in words is "twenty-four billion, two hundred sixty-four million, one hundred thirty-seven thousand, one hundred thirty-one".

Divisors: 1 13 19 31 163 247 403 589 2119 3097 5053 7657 19441 40261 65689 96007 252733 369379 602671 1248091 3168883 4801927 7834723 11450749 41195479 60208777 98235373 148859737 782714101 1277059849 1866472087 24264137131