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4995960500 = 22532921092
BaseRepresentation
bin1001010011100100…
…00100111010110100
3110220011210002102002
410221302010322310
540212431214000
62143424434432
7234542651336
oct45162047264
913804702362
104995960500
1121340a9083
12b75178a18
1361807605b
1435572d456
151e39098d5
hex129c84eb4

4995960500 has 108 divisors (see below), whose sum is σ = 11405023812. Its totient is φ = 1911772800.

The previous prime is 4995960499. The next prime is 4995960517. The reversal of 4995960500 is 50695994.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 4214087056 + 781873444 = 64916^2 + 27962^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45834446 + ... + 45834554.

Almost surely, 24995960500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4995960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702511906).

4995960500 is an abundant number, since it is smaller than the sum of its proper divisors (6409063312).

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

4995960500 is a wasteful number, since it uses less digits than its factorization.

4995960500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 47.

The square root of 4995960500 is about 70682.1087687684. The cubic root of 4995960500 is about 1709.5153260869.

The spelling of 4995960500 in words is "four billion, nine hundred ninety-five million, nine hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 109 116 125 145 218 250 290 436 500 545 580 725 841 1090 1450 1682 2180 2725 2900 3161 3364 3625 4205 5450 6322 7250 8410 10900 11881 12644 13625 14500 15805 16820 21025 23762 27250 31610 42050 47524 54500 59405 63220 79025 84100 91669 105125 118810 158050 183338 210250 237620 297025 316100 344549 366676 395125 420500 458345 594050 689098 790250 916690 1188100 1378196 1485125 1580500 1722745 1833380 2291725 2970250 3445490 4583450 5940500 6890980 8613725 9166900 9991921 11458625 17227450 19983842 22917250 34454900 39967684 43068625 45834500 49959605 86137250 99919210 172274500 199838420 249798025 499596050 999192100 1248990125 2497980250 4995960500