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5129793152 = 27119533823
BaseRepresentation
bin1001100011100001…
…00110111010000000
3111020111121111021222
410301300212322000
541001211340102
62205005134212
7241056344111
oct46160467200
914214544258
105129793152
1121a26a8580
12bb1b5a368
13639a04183
1436940a208
15200543aa2
hex131c26e80

5129793152 has 64 divisors (see below), whose sum is σ = 11163173760. Its totient is φ = 2328668160.

The previous prime is 5129793139. The next prime is 5129793157. The reversal of 5129793152 is 2513979215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (5129793157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339913 + ... + 1343735.

It is an arithmetic number, because the mean of its divisors is an integer number (174424590).

Almost surely, 25129793152 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 5129793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581586880).

5129793152 is an abundant number, since it is smaller than the sum of its proper divisors (6033380608).

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

5129793152 is a wasteful number, since it uses less digits than its factorization.

5129793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801 (or 4789 counting only the distinct ones).

The product of its digits is 170100, while the sum is 44.

The square root of 5129793152 is about 71622.5743184368. The cubic root of 5129793152 is about 1724.6459431017.

The spelling of 5129793152 in words is "five billion, one hundred twenty-nine million, seven hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 953 1408 1906 3812 3823 7624 7646 10483 15248 15292 20966 30496 30584 41932 42053 60992 61168 83864 84106 121984 122336 167728 168212 244672 335456 336424 489344 670912 672848 1341824 1345696 2691392 3643319 5382784 7286638 14573276 29146552 40076509 58293104 80153018 116586208 160306036 233172416 320612072 466344832 641224144 1282448288 2564896576 5129793152