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11047644032 = 274711631579
BaseRepresentation
bin10100100100111110…
…11010101110000000
31001111221002110120012
422102133122232000
5140111144102112
65024125204052
7540525265505
oct122237325600
931457073505
1011047644032
11475a11a527
122183a00628
131070a69599
1476b3534ac
15449d51022
hex2927dab80

11047644032 has 64 divisors (see below), whose sum is σ = 22510828800. Its totient is φ = 5398224384.

The previous prime is 11047644029. The next prime is 11047644037. The reversal of 11047644032 is 23044674011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11047644032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11047644037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6995819 + ... + 6997397.

It is an arithmetic number, because the mean of its divisors is an integer number (351731700).

Almost surely, 211047644032 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 11047644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255414400).

11047644032 is an abundant number, since it is smaller than the sum of its proper divisors (11463184768).

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

11047644032 is a wasteful number, since it uses less digits than its factorization.

11047644032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 11047644032 in words is "eleven billion, forty-seven million, six hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1163 1504 1579 2326 3008 3158 4652 6016 6316 9304 12632 18608 25264 37216 50528 54661 74213 74432 101056 109322 148426 148864 202112 218644 296852 437288 593704 874576 1187408 1749152 1836377 2374816 3498304 3672754 4749632 6996608 7345508 9499264 14691016 29382032 58764064 86309719 117528128 172619438 235056256 345238876 690477752 1380955504 2761911008 5523822016 11047644032