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6138532500 = 223543832137
BaseRepresentation
bin1011011011110001…
…01001001010010100
3120211210201202112120
411231320221022110
5100032431020000
62453042015540
7305055444132
oct55570511224
916753652476
106138532500
112670050361
1212339475b0
1376a9b1169
14423390752
1525dd9e6a0
hex16de29294

6138532500 has 120 divisors (see below), whose sum is σ = 17953453056. Its totient is φ = 1631904000.

The previous prime is 6138532469. The next prime is 6138532507. The reversal of 6138532500 is 52358316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138532507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2871432 + ... + 2873568.

Almost surely, 26138532500 is an apocalyptic number.

6138532500 is a gapful number since it is divisible by the number (60) 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 6138532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976726528).

6138532500 is an abundant number, since it is smaller than the sum of its proper divisors (11814920556).

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

6138532500 is a wasteful number, since it uses less digits than its factorization.

6138532500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6138532500 is about 78348.7874826407. The cubic root of 6138532500 is about 1830.9993347372. Note that the first 3 decimals are identical.

The spelling of 6138532500 in words is "six billion, one hundred thirty-eight million, five hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 383 500 625 750 766 1149 1250 1500 1532 1875 1915 2137 2298 2500 3750 3830 4274 4596 5745 6411 7500 7660 8548 9575 10685 11490 12822 19150 21370 22980 25644 28725 32055 38300 42740 47875 53425 57450 64110 95750 106850 114900 128220 143625 160275 191500 213700 239375 267125 287250 320550 478750 534250 574500 641100 718125 801375 818471 957500 1068500 1335625 1436250 1602750 1636942 2455413 2671250 2872500 3205500 3273884 4006875 4092355 4910826 5342500 8013750 8184710 9821652 12277065 16027500 16369420 20461775 24554130 40923550 49108260 61385325 81847100 102308875 122770650 204617750 245541300 306926625 409235500 511544375 613853250 1023088750 1227706500 1534633125 2046177500 3069266250 6138532500