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5105657000 = 235347108631
BaseRepresentation
bin1001100000101001…
…00010010010101000
3111011211012020201102
410300110202102220
540424022011000
62202343540532
7240344240243
oct46024422250
914154166642
105105657000
112190012744
12ba5a5a748
13634a03222
1436612625a
151ed3773d5
hex1305224a8

5105657000 has 64 divisors (see below), whose sum is σ = 12201546240. Its totient is φ = 1998792000.

The previous prime is 5105656999. The next prime is 5105657017. The reversal of 5105657000 is 7565015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7316 + ... + 101315.

It is an arithmetic number, because the mean of its divisors is an integer number (190649160).

Almost surely, 25105657000 is an apocalyptic number.

5105657000 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 5105657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100773120).

5105657000 is an abundant number, since it is smaller than the sum of its proper divisors (7095889240).

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

5105657000 is a wasteful number, since it uses less digits than its factorization.

5105657000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108699 (or 108685 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 29.

The square root of 5105657000 is about 71453.8802305375. The cubic root of 5105657000 is about 1721.9368167745.

The spelling of 5105657000 in words is "five billion, one hundred five million, six hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11750 23500 47000 108631 217262 434524 543155 869048 1086310 2172620 2715775 4345240 5105657 5431550 10211314 10863100 13578875 20422628 21726200 25528285 27157750 40845256 51056570 54315500 102113140 108631000 127641425 204226280 255282850 510565700 638207125 1021131400 1276414250 2552828500 5105657000