Search a number
-
+
10555204608 = 21035132251
BaseRepresentation
bin10011101010010001…
…11010010000000000
31000020121110221200000
421311020322100000
5133104113021413
64503214400000
7522365521164
oct116510722000
930217427600
1010555204608
1145271574a3
122066b00000
13cc2a30900
14721ba8ca4
1541b9cd073
hex27523a400

10555204608 has 396 divisors, whose sum is σ = 34361400528. Its totient is φ = 3234816000.

The previous prime is 10555204603. The next prime is 10555204631. The reversal of 10555204608 is 80640255501.

It is a super-2 number, since 2×105552046082 (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 (10555204603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42052483 + ... + 42052733.

Almost surely, 210555204608 is an apocalyptic number.

10555204608 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 10555204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17180700264).

10555204608 is an abundant number, since it is smaller than the sum of its proper divisors (23806195920).

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

10555204608 is an equidigital number, since it uses as much as digits as its factorization.

10555204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10555204608 in words is "ten billion, five hundred fifty-five million, two hundred four thousand, six hundred eight".