Search a number
-
+
10015557552 = 243371113192353
BaseRepresentation
bin10010101001111100…
…10100011110110000
3221212000001001002000
421110332110132300
5131002440320202
64333500054000
7503123556150
oct112476243660
927760031060
1010015557552
11427a5806a0
121b36234300
13c37ca6820
146b0252760
153d943291c
hex254f947b0

10015557552 has 1280 divisors, whose sum is σ = 43197235200. Its totient is φ = 2134978560.

The previous prime is 10015557547. The next prime is 10015557553. The reversal of 10015557552 is 25575551001.

10015557552 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 55 + 57 + 552 = 666.

10015557552 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 2×100155575522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10015557553) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 188972758 + ... + 188972810.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 210015557552 is an apocalyptic number.

10015557552 is a gapful number since it is divisible by the number (12) 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 10015557552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21598617600).

10015557552 is an abundant number, since it is smaller than the sum of its proper divisors (33181677648).

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

10015557552 is a wasteful number, since it uses less digits than its factorization.

10015557552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 43750, while the sum is 36.

The spelling of 10015557552 in words is "ten billion, fifteen million, five hundred fifty-seven thousand, five hundred fifty-two".