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5135079144 = 2331382120047
BaseRepresentation
bin1001100100001001…
…10001011011101000
3111020212120001022110
410302010301123220
541004040013034
62205314322320
7241152311136
oct46204613350
914225501273
105135079144
1121a5688a68
12bb38893a0
1363ab35190
14369dc4756
15200c39de9
hex1321316e8

5135079144 has 64 divisors (see below), whose sum is σ = 13842743040. Its totient is φ = 1578021120.

The previous prime is 5135079127. The next prime is 5135079149. The reversal of 5135079144 is 4419705315.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5135079149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246129 + ... + 266175.

It is an arithmetic number, because the mean of its divisors is an integer number (216292860).

Almost surely, 25135079144 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 5135079144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921371520).

5135079144 is an abundant number, since it is smaller than the sum of its proper divisors (8707663896).

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

5135079144 is a wasteful number, since it uses less digits than its factorization.

5135079144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20890 (or 20886 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5135079144 is about 71659.4665344363. The cubic root of 5135079144 is about 1725.2381265048.

The spelling of 5135079144 in words is "five billion, one hundred thirty-five million, seventy-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 821 1642 2463 3284 4926 6568 9852 10673 19704 20047 21346 32019 40094 42692 60141 64038 80188 85384 120282 128076 160376 240564 256152 260611 481128 521222 781833 1042444 1563666 2084888 3127332 6254664 16458587 32917174 49375761 65834348 98751522 131668696 197503044 213961631 395006088 427923262 641884893 855846524 1283769786 1711693048 2567539572 5135079144