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48155340200 = 235211191114601
BaseRepresentation
bin101100110110010010…
…000010110110101000
311121022000202202002112
4230312102002312220
51242110231341300
634042224021452
73323222431562
oct546622026650
9147260682075
1048155340200
1119471485920
1293bb161888
134705844156
14248b750332
1513bc968e35
hexb36482da8

48155340200 has 96 divisors (see below), whose sum is σ = 122779998720. Its totient is φ = 17419200000.

The previous prime is 48155340157. The next prime is 48155340203. The reversal of 48155340200 is 204355184.

It is not an unprimeable number, because it can be changed into a prime (48155340203) 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, 362900 + ... + 477500.

It is an arithmetic number, because the mean of its divisors is an integer number (1278958320).

Almost surely, 248155340200 is an apocalyptic number.

48155340200 is a gapful number since it is divisible by the number (40) 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 48155340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61389999360).

48155340200 is an abundant number, since it is smaller than the sum of its proper divisors (74624658520).

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

48155340200 is a wasteful number, since it uses less digits than its factorization.

48155340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114819 (or 114810 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 48155340200 its reverse (204355184), we get a palindrome (48359695384).

The spelling of 48155340200 in words is "forty-eight billion, one hundred fifty-five million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 191 200 220 275 382 440 550 764 955 1100 1528 1910 2101 2200 3820 4202 4775 7640 8404 9550 10505 16808 19100 21010 38200 42020 52525 84040 105050 114601 210100 229202 420200 458404 573005 916808 1146010 1260611 2292020 2521222 2865025 4584040 5042444 5730050 6303055 10084888 11460100 12606110 21888791 22920200 25212220 31515275 43777582 50424440 63030550 87555164 109443955 126061100 175110328 218887910 240776701 252122200 437775820 481553402 547219775 875551640 963106804 1094439550 1203883505 1926213608 2188879100 2407767010 4377758200 4815534020 6019417525 9631068040 12038835050 24077670100 48155340200