Search a number
-
+
10945870848 = 21036113143
BaseRepresentation
bin10100011000110110…
…01011110000000000
31001020211120212000000
422030123023300000
5134404120331343
65010052000000
7535151236623
oct121433136000
931224525000
1010945870848
114707727860
122155900000
131055954973
1475ba1ddba
15440e4aed3
hex28c6cbc00

10945870848 has 616 divisors, whose sum is σ = 37802620416. Its totient is φ = 3135283200.

The previous prime is 10945870847. The next prime is 10945870889. The reversal of 10945870848 is 84807854901.

10945870848 is a `hidden beast` number, since 10 + 9 + 4 + 587 + 0 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10945870794 and 10945870803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10945870847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 254555115 + ... + 254555157.

Almost surely, 210945870848 is an apocalyptic number.

10945870848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10945870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901310208).

10945870848 is an abundant number, since it is smaller than the sum of its proper divisors (26856749568).

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

10945870848 is an equidigital number, since it uses as much as digits as its factorization.

10945870848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10945870848 in words is "ten billion, nine hundred forty-five million, eight hundred seventy thousand, eight hundred forty-eight".