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5198372640 = 253551931227
BaseRepresentation
bin1001101011101100…
…01101111100100000
3111102021122200200000
410311312031330200
541121240411030
62215455100000
7242551303236
oct46566157440
914367580600
105198372640
11222838933a
121010b11600
1364ac96256
1437457c956
1520658d860
hex135d8df20

5198372640 has 576 divisors, whose sum is σ = 20077424640. Its totient is φ = 1265310720.

The previous prime is 5198372639. The next prime is 5198372653. The reversal of 5198372640 is 462738915.

5198372640 is a `hidden beast` number, since 519 + 8 + 3 + 72 + 64 + 0 = 666.

5198372640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

5198372640 is strictly pandigital in base 10.

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 95 ways as a sum of consecutive naturals, for example, 22900207 + ... + 22900433.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5198372640 = 10396745280, but 3⋅5198372640 = 15595117920 is not.

Almost surely, 25198372640 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 5198372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038712320).

5198372640 is an abundant number, since it is smaller than the sum of its proper divisors (14879052000).

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

5198372640 is a wasteful number, since it uses less digits than its factorization.

5198372640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5198372640 is about 72099.7409149298. The cubic root of 5198372640 is about 1732.2974632522.

The spelling of 5198372640 in words is "five billion, one hundred ninety-eight million, three hundred seventy-two thousand, six hundred forty".