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5186121400 = 235230418527
BaseRepresentation
bin1001101010001110…
…11110111010111000
3111101102121021010101
410311013132322320
541110121341100
62214340325144
7242342206315
oct46507367270
914342537111
105186121400
112221480849
1210089a37b4
13648596ab5
14372aadd0c
1520546d86a
hex1351deeb8

5186121400 has 48 divisors (see below), whose sum is σ = 12063111840. Its totient is φ = 2073523200.

The previous prime is 5186121377. The next prime is 5186121401. The reversal of 5186121400 is 41216815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5186121401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603937 + ... + 612463.

It is an arithmetic number, because the mean of its divisors is an integer number (251314830).

Almost surely, 25186121400 is an apocalyptic number.

5186121400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5186121400 is an abundant number, since it is smaller than the sum of its proper divisors (6876990440).

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

5186121400 is a wasteful number, since it uses less digits than its factorization.

5186121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584 (or 11575 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5186121400 is about 72014.7304375987. The cubic root of 5186121400 is about 1730.9355315127.

The spelling of 5186121400 in words is "five billion, one hundred eighty-six million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3041 6082 8527 12164 15205 17054 24328 30410 34108 42635 60820 68216 76025 85270 121640 152050 170540 213175 304100 341080 426350 608200 852700 1705400 25930607 51861214 103722428 129653035 207444856 259306070 518612140 648265175 1037224280 1296530350 2593060700 5186121400