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5180551200 = 25325211149439
BaseRepresentation
bin1001101001100100…
…01111000000100000
3111101001010021020200
410310302033000200
541102210114300
62214021105200
7242243646546
oct46462170040
914331107220
105180551200
112219316880
121006b58200
13647396616
1437205dd96
15204c1d200
hex134c8f020

5180551200 has 432 divisors, whose sum is σ = 20108088000. Its totient is φ = 1244620800.

The previous prime is 5180551199. The next prime is 5180551217. The reversal of 5180551200 is 21550815.

It is a super-2 number, since 2×51805512002 = 53676221471642880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11800581 + ... + 11801019.

It is an arithmetic number, because the mean of its divisors is an integer number (46546500).

Almost surely, 25180551200 is an apocalyptic number.

5180551200 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 5180551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054044000).

5180551200 is an abundant number, since it is smaller than the sum of its proper divisors (14927536800).

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

5180551200 is a wasteful number, since it uses less digits than its factorization.

5180551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 5180551200 is about 71976.0460153237. The cubic root of 5180551200 is about 1730.3156005909.

The spelling of 5180551200 in words is "five billion, one hundred eighty million, five hundred fifty-one thousand, two hundred".