Search a number
-
+
48980598909795 = 3257374202539589
BaseRepresentation
bin10110010001100001011110…
…01100101110101101100011
320102102111111011011100012100
423020300233030232231203
522404444231310103140
6252101213154101443
713213505621213640
oct1310605714565543
9212374434140170
1048980598909795
1114674612187a53
1255b092757a883
132143b09b86107
14c1496065adc7
1559e170032530
hex2c8c2f32eb63

48980598909795 has 48 divisors (see below), whose sum is σ = 99650618758080. Its totient is φ = 21785965224192.

The previous prime is 48980598909791. The next prime is 48980598909817. The reversal of 48980598909795 is 59790989508984.

48980598909795 is a `hidden beast` number, since 4 + 8 + 9 + 8 + 0 + 598 + 9 + 0 + 9 + 7 + 9 + 5 = 666.

It is not a de Polignac number, because 48980598909795 - 22 = 48980598909791 is a prime.

It is a super-2 number, since 2×489805989097952 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48980598909791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2101258140 + ... + 2101281449.

It is an arithmetic number, because the mean of its divisors is an integer number (2076054557460).

Almost surely, 248980598909795 is an apocalyptic number.

48980598909795 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48980598909795 is an abundant number, since it is smaller than the sum of its proper divisors (50670019848285).

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

48980598909795 is a wasteful number, since it uses less digits than its factorization.

48980598909795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202539644 (or 4202539641 counting only the distinct ones).

The product of its (nonzero) digits is 21163161600, while the sum is 90.

The spelling of 48980598909795 in words is "forty-eight trillion, nine hundred eighty billion, five hundred ninety-eight million, nine hundred nine thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 2331 3885 11655 4202539589 12607618767 21012697945 29417777123 37822856301 63038093835 88253331369 147088885615 155493964793 189114281505 264759994107 441266656845 466481894379 777469823965 1088457753551 1323799970535 1399445683137 2332409471895 3265373260653 5442288767755 6997228415685 9796119781959 16326866303265 48980598909795