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5149428600 = 23352233112037
BaseRepresentation
bin1001100101110111…
…00000101101111000
3111021212120002001210
410302323200231320
541021223203400
62210550043120
7241415264241
oct46273405570
914255502053
105149428600
112202799a18
12bb86494a0
13640aba694
1436bc7bcc8
15202121950
hex132ee0b78

5149428600 has 192 divisors, whose sum is σ = 17196042240. Its totient is φ = 1271001600.

The previous prime is 5149428589. The next prime is 5149428619. The reversal of 5149428600 is 68249415.

It is a super-2 number, since 2×51494286002 = 53033229812995920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421782 + ... + 433818.

It is an arithmetic number, because the mean of its divisors is an integer number (89562720).

Almost surely, 25149428600 is an apocalyptic number.

5149428600 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 5149428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598021120).

5149428600 is an abundant number, since it is smaller than the sum of its proper divisors (12046613640).

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

5149428600 is a wasteful number, since it uses less digits than its factorization.

5149428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110 (or 12101 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5149428600 is about 71759.5192291587. The cubic root of 5149428600 is about 1726.8436327386.

The spelling of 5149428600 in words is "five billion, one hundred forty-nine million, four hundred twenty-eight thousand, six hundred".