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5170185216 = 21032721072
BaseRepresentation
bin1001101000010101…
…01100010000000000
3111100022121121210100
410310022230100000
541042031411331
62213011002400
7242056564200
oct46412542000
914308547710
105170185216
112213486749
121003599400
136451a72c1
14370922400
15203d71ae6
hex1342ac400

5170185216 has 297 divisors, whose sum is σ = 17529969639. Its totient is φ = 1463390208.

The previous prime is 5170185127. The next prime is 5170185233. The reversal of 5170185216 is 6125810715.

The square root of 5170185216 is 71904.

It is a perfect power (a square), and thus also a powerful number.

5170185216 is a `hidden beast` number, since 51 + 70 + 18 + 521 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48319435 + ... + 48319541.

Almost surely, 25170185216 is an apocalyptic number.

5170185216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5170185216 is the 71904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5170185216

5170185216 is an abundant number, since it is smaller than the sum of its proper divisors (12359784423).

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

5170185216 is a wasteful number, since it uses less digits than its factorization.

5170185216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The cubic root of 5170185216 is about 1729.1607427579.

Multiplying 5170185216 by its sum of digits (36), we get a square (186126667776 = 4314242).

5170185216 divided by its sum of digits (36) gives a square (143616256 = 119842).

The spelling of 5170185216 in words is "five billion, one hundred seventy million, one hundred eighty-five thousand, two hundred sixteen".