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38000883300 = 22352376156123
BaseRepresentation
bin100011011001000001…
…110111011001100100
310122002100100212221020
4203121001313121210
51110311211231200
625242442451140
72513461115142
oct433101673144
9118070325836
1038000883300
1115130565086
127446503ab0
133777b57283
141ba6ca2592
15ec624aea0
hex8d9077664

38000883300 has 144 divisors (see below), whose sum is σ = 114774028992. Its totient is φ = 9697881600.

The previous prime is 38000883293. The next prime is 38000883301. The reversal of 38000883300 is 338800083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38000883301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649039 + ... + 705161.

It is an arithmetic number, because the mean of its divisors is an integer number (797041868).

Almost surely, 238000883300 is an apocalyptic number.

38000883300 is a gapful number since it is divisible by the number (30) 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 38000883300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57387014496).

38000883300 is an abundant number, since it is smaller than the sum of its proper divisors (76773145692).

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

38000883300 is a wasteful number, since it uses less digits than its factorization.

38000883300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56238 (or 56231 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 38000883300 in words is "thirty-eight billion, eight hundred eighty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 61 74 75 100 111 122 148 150 183 185 222 244 300 305 366 370 444 555 610 732 740 915 925 1110 1220 1525 1830 1850 2220 2257 2775 3050 3660 3700 4514 4575 5550 6100 6771 9028 9150 11100 11285 13542 18300 22570 27084 33855 45140 56123 56425 67710 112246 112850 135420 168369 169275 224492 225700 280615 336738 338550 561230 673476 677100 841845 1122460 1403075 1683690 2076551 2806150 3367380 3423503 4153102 4209225 5612300 6229653 6847006 8306204 8418450 10270509 10382755 12459306 13694012 16836900 17117515 20541018 20765510 24918612 31148265 34235030 41082036 41531020 51352545 51913775 62296530 68470060 85587575 102705090 103827550 124593060 126669611 155741325 171175150 205410180 207655100 253339222 256762725 311482650 342350300 380008833 506678444 513525450 622965300 633348055 760017666 1027050900 1266696110 1520035332 1900044165 2533392220 3166740275 3800088330 6333480550 7600176660 9500220825 12666961100 19000441650 38000883300