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5343148700 = 2252412275741
BaseRepresentation
bin1001111100111100…
…11111101010011100
3111210101002002002022
410332132133222130
541420321224300
62242110115312
7246260005001
oct47636375234
914711062068
105343148700
1122a208277a
1210514abb38
13671c86466
143898a78a8
1521413a285
hex13e79fa9c

5343148700 has 72 divisors (see below), whose sum is σ = 11931830064. Its totient is φ = 2075584000.

The previous prime is 5343148693. The next prime is 5343148709. The reversal of 5343148700 is 78413435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5343148709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927830 + ... + 933570.

It is an arithmetic number, because the mean of its divisors is an integer number (165719862).

Almost surely, 25343148700 is an apocalyptic number.

5343148700 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 5343148700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965915032).

5343148700 is an abundant number, since it is smaller than the sum of its proper divisors (6588681364).

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

5343148700 is a wasteful number, since it uses less digits than its factorization.

5343148700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 5343148700 is about 73096.8446651427. The cubic root of 5343148700 is about 1748.2320867003.

The spelling of 5343148700 in words is "five billion, three hundred forty-three million, one hundred forty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 227 410 454 820 908 1025 1135 2050 2270 4100 4540 5675 5741 9307 11350 11482 18614 22700 22964 28705 37228 46535 57410 93070 114820 143525 186140 232675 235381 287050 465350 470762 574100 930700 941524 1176905 1303207 2353810 2606414 4707620 5212828 5884525 6516035 11769050 13032070 23538100 26064140 32580175 53431487 65160350 106862974 130320700 213725948 267157435 534314870 1068629740 1335787175 2671574350 5343148700