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5133145344 = 28319334631
BaseRepresentation
bin1001100011111010…
…11001010100000000
3111020201220210122020
410301331121110000
541003041122334
62205205041440
7241130005215
oct46175312400
914221823566
105133145344
1121a4588088
12bb30b6280
1363a608c12
14369a3db0c
152009a6e49
hex131f59500

5133145344 has 72 divisors (see below), whose sum is σ = 13732834752. Its totient is φ = 1702133760.

The previous prime is 5133145343. The next prime is 5133145351. The reversal of 5133145344 is 4435413315.

It is a super-2 number, since 2×51331453442 = 52698362245257756672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133145343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130909 + ... + 165539.

It is an arithmetic number, because the mean of its divisors is an integer number (190733816).

Almost surely, 25133145344 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 5133145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866417376).

5133145344 is an abundant number, since it is smaller than the sum of its proper divisors (8599689408).

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

5133145344 is a wasteful number, since it uses less digits than its factorization.

5133145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34843 (or 34829 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 5133145344 is about 71645.9722803732. The cubic root of 5133145344 is about 1725.0215323504.

Adding to 5133145344 its reverse (4435413315), we get a palindrome (9568558659).

The spelling of 5133145344 in words is "five billion, one hundred thirty-three million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 579 768 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 24704 34631 37056 49408 69262 74112 103893 138524 148224 207786 277048 415572 554096 831144 1108192 1662288 2216384 3324576 4432768 6649152 6683783 8865536 13298304 13367566 20051349 26596608 26735132 40102698 53470264 80205396 106940528 160410792 213881056 320821584 427762112 641643168 855524224 1283286336 1711048448 2566572672 5133145344