Search a number
-
+
48230965120 = 275135796991
BaseRepresentation
bin101100111010110010…
…100001111110000000
311121111022001212222111
4230322302201332000
51242234111340440
634053524545104
73325131303442
oct547262417600
9147438055874
1048230965120
1119500138a58
129420552194
134718402020
1424977d8492
1513c44064ea
hexb3aca1f80

48230965120 has 64 divisors (see below), whose sum is σ = 124171568640. Its totient is φ = 17808353280.

The previous prime is 48230965067. The next prime is 48230965151. The reversal of 48230965120 is 2156903284.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×482309651202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2890176 + ... + 2906815.

It is an arithmetic number, because the mean of its divisors is an integer number (1940180760).

Almost surely, 248230965120 is an apocalyptic number.

48230965120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48230965120 is an abundant number, since it is smaller than the sum of its proper divisors (75940603520).

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

48230965120 is a wasteful number, since it uses less digits than its factorization.

48230965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797023 (or 5797011 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 48230965120 in words is "forty-eight billion, two hundred thirty million, nine hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 5796991 11593982 23187964 28984955 46375928 57969910 75360883 92751856 115939820 150721766 185503712 231879640 301443532 371007424 376804415 463759280 602887064 742014848 753608830 927518560 1205774128 1507217660 1855037120 2411548256 3014435320 3710074240 4823096512 6028870640 9646193024 12057741280 24115482560 48230965120