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5345126900 = 225261986351
BaseRepresentation
bin1001111101001100…
…00010100111110100
3111210111210120122222
410332212002213310
541421323030100
62242220341512
7246312554231
oct47646024764
914714716588
105345126900
1122a3203a53
1210520a4898
136724c99a9
14389c60788
152143cb485
hex13e9829f4

5345126900 has 36 divisors (see below), whose sum is σ = 11617798080. Its totient is φ = 2134572000.

The previous prime is 5345126887. The next prime is 5345126933. The reversal of 5345126900 is 96215435.

It is a super-3 number, since 3×53451269003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 18725 + ... + 105075.

Almost surely, 25345126900 is an apocalyptic number.

5345126900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5345126900 is an abundant number, since it is smaller than the sum of its proper divisors (6272671180).

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

5345126900 is a wasteful number, since it uses less digits than its factorization.

5345126900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86984 (or 86977 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 5345126900 is about 73110.3747767716. The cubic root of 5345126900 is about 1748.4478100624.

The spelling of 5345126900 in words is "five billion, three hundred forty-five million, one hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 619 1238 2476 3095 6190 12380 15475 30950 61900 86351 172702 345404 431755 863510 1727020 2158775 4317550 8635100 53451269 106902538 213805076 267256345 534512690 1069025380 1336281725 2672563450 5345126900