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5135115104 = 257191378807
BaseRepresentation
bin1001100100001001…
…11010001101100000
3111020212121212122022
410302010322031200
541004042140404
62205315201012
7241152521030
oct46204721540
914225555568
105135115104
1121a5702a89
12bb38a6168
1363ab48662
14369dd38c0
15200c458be
hex13213a360

5135115104 has 96 divisors (see below), whose sum is σ = 12252280320. Its totient is φ = 2069480448.

The previous prime is 5135115101. The next prime is 5135115109. The reversal of 5135115104 is 4015115315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135115101) 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 15 ways as a sum of consecutive naturals, for example, 578669 + ... + 587475.

It is an arithmetic number, because the mean of its divisors is an integer number (127627920).

Almost surely, 25135115104 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 5135115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126140160).

5135115104 is an abundant number, since it is smaller than the sum of its proper divisors (7117165216).

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

5135115104 is a wasteful number, since it uses less digits than its factorization.

5135115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 5135115104 is about 71659.7174429261. The cubic root of 5135115104 is about 1725.2421536688.

The spelling of 5135115104 in words is "five billion, one hundred thirty-five million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 137 152 224 266 274 304 532 548 608 959 1064 1096 1918 2128 2192 2603 3836 4256 4384 5206 7672 8807 10412 15344 17614 18221 20824 30688 35228 36442 41648 61649 70456 72884 83296 123298 140912 145768 167333 246596 281824 291536 334666 493192 583072 669332 986384 1171331 1206559 1338664 1972768 2342662 2413118 2677328 4685324 4826236 5354656 8445913 9370648 9652472 16891826 18741296 19304944 22924621 33783652 37482592 38609888 45849242 67567304 91698484 135134608 160472347 183396968 270269216 320944694 366793936 641889388 733587872 1283778776 2567557552 5135115104