Search a number
-
+
48081078114575 = 52113128331376353
BaseRepresentation
bin10101110111010101111111…
…00101001101100100001111
320022020111200000002101100012
422323222333211031210033
522300230021444131300
6250132050425423435
713061512636466612
oct1273527745154417
9208214600071305
1048081078114575
1114358086140870
12548652793ab7b
1320aa045780a3c
14bc31cab76179
15585a74b12435
hex2bbabf94d90f

48081078114575 has 96 divisors (see below), whose sum is σ = 67407994755072. Its totient is φ = 33704423424000.

The previous prime is 48081078114571. The next prime is 48081078114691. The reversal of 48081078114575 is 57541187018084.

It is not a de Polignac number, because 48081078114575 - 22 = 48081078114571 is a prime.

It is a super-3 number, since 3×480810781145753 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48081078114571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7568244599 + ... + 7568250951.

It is an arithmetic number, because the mean of its divisors is an integer number (702166612032).

Almost surely, 248081078114575 is an apocalyptic number.

48081078114575 is a deficient number, since it is larger than the sum of its proper divisors (19326916640497).

48081078114575 is a wasteful number, since it uses less digits than its factorization.

48081078114575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 59.

The spelling of 48081078114575 in words is "forty-eight trillion, eighty-one billion, seventy-eight million, one hundred fourteen thousand, five hundred seventy-five".

Divisors: 1 5 11 25 31 55 155 275 283 341 775 1415 1705 3113 3137 6353 7075 8525 8773 15565 15685 31765 34507 43865 69883 77825 78425 96503 97247 158825 172535 196943 219325 349415 482515 486235 862675 887771 984715 1069717 1747075 1797899 2166373 2412575 2431175 4438855 4923575 5348585 8989495 9765481 10831865 19776889 19929361 22194275 26742925 27520901 44947475 48827405 54159325 55734869 98884445 99646805 137604505 219222971 244137025 278674345 302729911 494422225 498234025 613083559 617810191 688022525 1096114855 1393371725 1513649555 3065417795 3089050955 5480574275 5640009163 6795912101 7568247775 15327088975 15445254775 28200045815 33979560505 62040100793 141000229075 169897802525 174840284053 310200503965 874201420265 1551002519825 1923243124583 4371007101325 9616215622915 48081078114575