Search a number
-
+
10053421056 = 211337191367
BaseRepresentation
bin10010101110011101…
…10000100000000000
3221221122021201001000
421113032300200000
5131042133433211
64341331412000
7504063445320
oct112716604000
927848251030
1010053421056
114299992048
121b46a54000
13c42aa2a73
146b52ab280
153dc911656
hex2573b0800

10053421056 has 384 divisors, whose sum is σ = 35852544000. Its totient is φ = 2719236096.

The previous prime is 10053421051. The next prime is 10053421061. The reversal of 10053421056 is 65012435001.

10053421056 is a `hidden beast` number, since 100 + 534 + 21 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10053421051) and next prime (10053421061).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10053421051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7353685 + ... + 7355051.

It is an arithmetic number, because the mean of its divisors is an integer number (93366000).

Almost surely, 210053421056 is an apocalyptic number.

10053421056 is a gapful number since it is divisible by the number (16) 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 10053421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272000).

10053421056 is an abundant number, since it is smaller than the sum of its proper divisors (25799122944).

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

10053421056 is a wasteful number, since it uses less digits than its factorization.

10053421056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10053421056 its reverse (65012435001), we get a palindrome (75065856057).

The spelling of 10053421056 in words is "ten billion, fifty-three million, four hundred twenty-one thousand, fifty-six".