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5129700600 = 2335222737663
BaseRepresentation
bin1001100011100000…
…10000010011111000
3111020111102210100010
410301300100103320
541001200404400
62205003141520
7241055510223
oct46160202370
914214383303
105129700600
1121a2644a92
12bb1b148a0
136399a0ccb
143693c45ba
15200526450
hex131c104f8

5129700600 has 96 divisors (see below), whose sum is σ = 15972549120. Its totient is φ = 1361857920.

The previous prime is 5129700517. The next prime is 5129700607. The reversal of 5129700600 is 60079215.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129700607) 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 23 ways as a sum of consecutive naturals, for example, 117369 + ... + 155031.

It is an arithmetic number, because the mean of its divisors is an integer number (166380720).

Almost surely, 25129700600 is an apocalyptic number.

5129700600 is a gapful number since it is divisible by the number (50) 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 5129700600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986274560).

5129700600 is an abundant number, since it is smaller than the sum of its proper divisors (10842848520).

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

5129700600 is a wasteful number, since it uses less digits than its factorization.

5129700600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37909 (or 37900 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5129700600 is about 71621.9282063810. The cubic root of 5129700600 is about 1724.6355709881.

Adding to 5129700600 its reverse (60079215), we get a palindrome (5189779815).

The spelling of 5129700600 in words is "five billion, one hundred twenty-nine million, seven hundred thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 227 300 454 600 681 908 1135 1362 1816 2270 2724 3405 4540 5448 5675 6810 9080 11350 13620 17025 22700 27240 34050 37663 45400 68100 75326 112989 136200 150652 188315 225978 301304 376630 451956 564945 753260 903912 941575 1129890 1506520 1883150 2259780 2824725 3766300 4519560 5649450 7532600 8549501 11298900 17099002 22597800 25648503 34198004 42747505 51297006 68396008 85495010 102594012 128242515 170990020 205188024 213737525 256485030 341980040 427475050 512970060 641212575 854950100 1025940120 1282425150 1709900200 2564850300 5129700600