Search a number
-
+
10883919216 = 243226748317
BaseRepresentation
bin10100010001011101…
…10110110101110000
31001002112000101100010
422020232312311300
5134242240403331
65000000054520
7533466533622
oct121056666560
931075011303
1010883919216
114685763665
122139004440
131045b735b1
147536d4c12
1543a7aee46
hex288bb6d70

10883919216 has 20 divisors (see below), whose sum is σ = 28116791432. Its totient is φ = 3627973056.

The previous prime is 10883919209. The next prime is 10883919271. The reversal of 10883919216 is 61291938801.

10883919216 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-3 number, since 3×108839192163 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 226748317 = 10883919216 / (1 + 0 + 8 + 8 + 3 + 9 + 1 + 9 + 2 + 1 + 6).

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 3 ways as a sum of consecutive naturals, for example, 113374111 + ... + 113374206.

Almost surely, 210883919216 is an apocalyptic number.

10883919216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10883919216 is an abundant number, since it is smaller than the sum of its proper divisors (17232872216).

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

10883919216 is a wasteful number, since it uses less digits than its factorization.

10883919216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226748328 (or 226748322 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 10883919216 in words is "ten billion, eight hundred eighty-three million, nine hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 226748317 453496634 680244951 906993268 1360489902 1813986536 2720979804 3627973072 5441959608 10883919216