Search a number
-
+
101908363368 = 23371931926179
BaseRepresentation
bin101111011101000110…
…1100011100001101000
3100202001011120020122110
41132322031203201220
53132202020111433
6114452133522320
710235245540050
oct1367215434150
9322034506573
10101908363368
113a245683809
1217900aa33a0
1397c0cb0c36
144d0a6a4560
1529b6a4a963
hex17ba363868

101908363368 has 64 divisors (see below), whose sum is σ = 306491328000. Its totient is φ = 27584217792.

The previous prime is 101908363363. The next prime is 101908363393. The reversal of 101908363368 is 863363809101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101908363363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15959898 + ... + 15966281.

It is an arithmetic number, because the mean of its divisors is an integer number (4788927000).

Almost surely, 2101908363368 is an apocalyptic number.

It is an amenable number.

101908363368 is an abundant number, since it is smaller than the sum of its proper divisors (204582964632).

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

101908363368 is a wasteful number, since it uses less digits than its factorization.

101908363368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31926214 (or 31926210 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 101908363368 in words is "one hundred one billion, nine hundred eight million, three hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 31926179 63852358 95778537 127704716 191557074 223483253 255409432 383114148 446966506 606597401 670449759 766228296 893933012 1213194802 1340899518 1787866024 1819792203 2426389604 2681799036 3639584406 4246181807 4852779208 5363598072 7279168812 8492363614 12738545421 14558337624 16984727228 25477090842 33969454456 50954181684 101908363368