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5135544504 = 233519163853
BaseRepresentation
bin1001100100001101…
…00011000010111000
3111020220102200200000
410302012203002320
541004144411004
62205332313000
7241156256646
oct46206430270
914226380600
105135544504
1121a5976662
12bb3a72760
1363ac68c3c
1436a0a6196
15200cccc39
hex1321a30b8

5135544504 has 192 divisors, whose sum is σ = 15294115200. Its totient is φ = 1609911936.

The previous prime is 5135544473. The next prime is 5135544511. The reversal of 5135544504 is 4054455315.

5135544504 is a `hidden beast` number, since 51 + 3 + 554 + 4 + 50 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6020142 + ... + 6020994.

It is an arithmetic number, because the mean of its divisors is an integer number (79656850).

Almost surely, 25135544504 is an apocalyptic number.

5135544504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135544504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647057600).

5135544504 is an abundant number, since it is smaller than the sum of its proper divisors (10158570696).

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

5135544504 is a wasteful number, since it uses less digits than its factorization.

5135544504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 5135544504 is about 71662.7134847684. The cubic root of 5135544504 is about 1725.2902407657.

Adding to 5135544504 its reverse (4054455315), we get a palindrome (9189999819).

It can be divided in two parts, 51355 and 44504, that added together give a palindrome (95859).

The spelling of 5135544504 in words is "five billion, one hundred thirty-five million, five hundred forty-four thousand, five hundred four".