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5015135004 = 223112312713007
BaseRepresentation
bin1001010101110110…
…01110001100011100
3110221111212020212220
410222323032030130
540232333310004
62145351425340
7235164641565
oct45273161434
913844766786
105015135004
112143a05180
12b7b685250
1361c02a809
143580c116c
151e5445dd9
hex12aece31c

5015135004 has 96 divisors (see below), whose sum is σ = 13426753536. Its totient is φ = 1442105280.

The previous prime is 5015135003. The next prime is 5015135009. The reversal of 5015135004 is 4005315105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015135003) 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 31 ways as a sum of consecutive naturals, for example, 379069 + ... + 392075.

It is an arithmetic number, because the mean of its divisors is an integer number (139862016).

Almost surely, 25015135004 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 5015135004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713376768).

5015135004 is an abundant number, since it is smaller than the sum of its proper divisors (8411618532).

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

5015135004 is a wasteful number, since it uses less digits than its factorization.

5015135004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13175 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5015135004 is about 70817.6178927250. The cubic root of 5015135004 is about 1711.6995748897.

The spelling of 5015135004 in words is "five billion, fifteen million, one hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 127 132 138 253 254 276 381 506 508 759 762 1012 1397 1518 1524 2794 2921 3036 4191 5588 5842 8382 8763 11684 13007 16764 17526 26014 32131 35052 39021 52028 64262 78042 96393 128524 143077 156084 192786 286154 299161 385572 429231 572308 598322 858462 897483 1196644 1651889 1716924 1794966 3290771 3303778 3589932 4955667 6581542 6607556 9872313 9911334 13163084 18170779 19744626 19822668 36341558 37993447 39489252 54512337 72683116 75986894 109024674 113980341 151973788 218049348 227960682 417927917 455921364 835855834 1253783751 1671711668 2507567502 5015135004