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5144063724 = 22321921013919
BaseRepresentation
bin1001100101001110…
…00010111011101100
3111021111110111211200
410302213002323230
541013340014344
62210235045500
7241321551222
oct46247027354
914244414750
105144063724
1121aa765238
12bb68a0890
1363c95c7b7
1436b282b12
15201912069
hex1329c2eec

5144063724 has 108 divisors (see below), whose sum is σ = 13862852640. Its totient is φ = 1607947200.

The previous prime is 5144063723. The next prime is 5144063777. The reversal of 5144063724 is 4273604415.

5144063724 is a `hidden beast` number, since 5 + 14 + 4 + 0 + 637 + 2 + 4 = 666.

It is a super-2 number, since 2×51440637242 = 52922783193145496352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5144063723) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1310637 + ... + 1314555.

Almost surely, 25144063724 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 5144063724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931426320).

5144063724 is an abundant number, since it is smaller than the sum of its proper divisors (8718788916).

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

5144063724 is a wasteful number, since it uses less digits than its factorization.

5144063724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5144063724 is about 71722.1285517936. The cubic root of 5144063724 is about 1726.2437266229.

The spelling of 5144063724 in words is "five billion, one hundred forty-four million, sixty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 361 404 606 684 722 909 1083 1212 1444 1818 1919 2166 3249 3636 3838 3919 4332 5757 6498 7676 7838 11514 11757 12996 15676 17271 23028 23514 34542 35271 36461 47028 69084 70542 72922 74461 109383 141084 145844 148922 218766 223383 297844 328149 395819 437532 446766 656298 670149 791638 893532 1187457 1312596 1340298 1414759 1583276 2374914 2680596 2829518 3562371 4244277 4749828 5659036 7124742 7520561 8488554 12732831 14249484 15041122 16977108 22561683 25465662 30082244 45123366 50931324 67685049 90246732 135370098 142890659 270740196 285781318 428671977 571562636 857343954 1286015931 1714687908 2572031862 5144063724