Search a number
-
+
10093180988 = 22111923524921
BaseRepresentation
bin10010110011001100…
…11011100000111100
3222001102002201102002
421121212123200330
5131132323242423
64345311521432
7505055423432
oct113146334074
928042081362
1010093180988
11430a3792a0
121b58229278
13c4b0b4257
146ba69ad52
153e1167228
hex25999b83c

10093180988 has 48 divisors (see below), whose sum is σ = 21164855040. Its totient is φ = 4157366400.

The previous prime is 10093180927. The next prime is 10093181069. The reversal of 10093180988 is 88908139001.

It is a happy number.

10093180988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100931809882 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 243233 + ... + 281688.

It is an arithmetic number, because the mean of its divisors is an integer number (440934480).

Almost surely, 210093180988 is an apocalyptic number.

It is an amenable number.

10093180988 is an abundant number, since it is smaller than the sum of its proper divisors (11071674052).

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

10093180988 is a wasteful number, since it uses less digits than its factorization.

10093180988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524978 (or 524976 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 47.

The spelling of 10093180988 in words is "ten billion, ninety-three million, one hundred eighty thousand, nine hundred eighty-eight".

Divisors: 1 2 4 11 19 22 23 38 44 46 76 92 209 253 418 437 506 836 874 1012 1748 4807 9614 19228 524921 1049842 2099684 5774131 9973499 11548262 12073183 19946998 23096524 24146366 39893996 48292732 109708489 132805013 219416978 229390477 265610026 438833956 458780954 531220052 917561908 2523295247 5046590494 10093180988