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24031145052 = 223219271129643
BaseRepresentation
bin10110011000010111…
…100010110001011100
32022000202211122200100
4112120113202301130
5343203433120202
615012330501100
71510341235245
oct263027426134
968022748610
1024031145052
11a211a55a62
1247a7b94790
13235c8b2575
14123d825ccc
15959ae441c
hex5985e2c5c

24031145052 has 72 divisors (see below), whose sum is σ = 64178965760. Its totient is φ = 7560721440.

The previous prime is 24031145003. The next prime is 24031145101. The reversal of 24031145052 is 25054113042.

24031145052 is a `hidden beast` number, since 2 + 40 + 3 + 114 + 505 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (24031145003) and next prime (24031145101).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 120543 + ... + 250185.

Almost surely, 224031145052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24031145052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32089482880).

24031145052 is an abundant number, since it is smaller than the sum of its proper divisors (40147820708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24031145052 is a wasteful number, since it uses less digits than its factorization.

24031145052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129943 (or 129938 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 24031145052 its reverse (25054113042), we get a palindrome (49085258094).

The spelling of 24031145052 in words is "twenty-four billion, thirty-one million, one hundred forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 271 342 542 684 813 1084 1626 2439 3252 4878 5149 9756 10298 15447 20596 30894 46341 61788 92682 129643 185364 259286 388929 518572 777858 1166787 1555716 2333574 2463217 4667148 4926434 7389651 9852868 14779302 22168953 29558604 35133253 44337906 70266506 88675812 105399759 140533012 210799518 316199277 421599036 632398554 667531807 1264797108 1335063614 2002595421 2670127228 4005190842 6007786263 8010381684 12015572526 24031145052