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10551250944 = 212331341179
BaseRepresentation
bin10011101001110011…
…10101000000000000
31000020100001002021000
421310321311000000
5133102110012234
64502553532000
7522320103363
oct116471650000
930210032230
1010551250944
1145249a7003
122065714000
13cc1c78170
1472145a0da
1541b49b899
hex274e75000

10551250944 has 416 divisors, whose sum is σ = 34677417600. Its totient is φ = 3149660160.

The previous prime is 10551250901. The next prime is 10551250949. The reversal of 10551250944 is 44905215501.

10551250944 is a `hidden beast` number, since 1 + 0 + 5 + 512 + 50 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×105512509442 (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 a junction number, because it is equal to n+sod(n) for n = 10551250899 and 10551250908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10551250949) 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 31 ways as a sum of consecutive naturals, for example, 58945447 + ... + 58945625.

Almost surely, 210551250944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10551250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338708800).

10551250944 is an abundant number, since it is smaller than the sum of its proper divisors (24126166656).

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

10551250944 is a wasteful number, since it uses less digits than its factorization.

10551250944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10551250944 in words is "ten billion, five hundred fifty-one million, two hundred fifty thousand, nine hundred forty-four".