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5429148700 = 2252733492131
BaseRepresentation
bin1010000111001101…
…00011110000011100
3112000100220022220111
411003212203300130
542104330224300
62254421255404
7251353000603
oct50346436034
915010808814
105429148700
112336681858
121076264564
13686a37831
14397092a3a
1521b9769ba
hex1439a3c1c

5429148700 has 72 divisors (see below), whose sum is σ = 11982479600. Its totient is φ = 2134771200.

The previous prime is 5429148631. The next prime is 5429148707. The reversal of 5429148700 is 78419245.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5429148707) 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, 2546635 + ... + 2548765.

Almost surely, 25429148700 is an apocalyptic number.

5429148700 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 5429148700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991239800).

5429148700 is an abundant number, since it is smaller than the sum of its proper divisors (6553330900).

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

5429148700 is a wasteful number, since it uses less digits than its factorization.

5429148700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 5429148700 is about 73682.7571416814. The cubic root of 5429148700 is about 1757.5616954156.

The spelling of 5429148700 in words is "five billion, four hundred twenty-nine million, one hundred forty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 349 365 698 730 1396 1460 1745 1825 2131 3490 3650 4262 6980 7300 8524 8725 10655 17450 21310 25477 34900 42620 50954 53275 101908 106550 127385 155563 213100 254770 311126 509540 622252 636925 743719 777815 1273850 1487438 1555630 2547700 2974876 3111260 3718595 3889075 7437190 7778150 14874380 15556300 18592975 37185950 54291487 74371900 108582974 217165948 271457435 542914870 1085829740 1357287175 2714574350 5429148700