Search a number
-
+
10647634944 = 210312592753
BaseRepresentation
bin10011110101010011…
…00000010000000000
31000111001101220020210
421322221200100000
5133301243304234
64520315434120
7524600255322
oct117251402000
930431356223
1010647634944
114574348801
122091a55940
131008c23b0b
14730189612
15424b89be9
hex27aa60400

10647634944 has 88 divisors (see below), whose sum is σ = 28412687520. Its totient is φ = 3545104384.

The previous prime is 10647634937. The next prime is 10647634993. The reversal of 10647634944 is 44943674601.

It is a super-2 number, since 2×106476349442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10647634893 and 10647634902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3866272 + ... + 3869024.

Almost surely, 210647634944 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 10647634944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206343760).

10647634944 is an abundant number, since it is smaller than the sum of its proper divisors (17765052576).

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

10647634944 is a wasteful number, since it uses less digits than its factorization.

10647634944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 10647634944 in words is "ten billion, six hundred forty-seven million, six hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1259 1536 2518 2753 3072 3777 5036 5506 7554 8259 10072 11012 15108 16518 20144 22024 30216 33036 40288 44048 60432 66072 80576 88096 120864 132144 161152 176192 241728 264288 322304 352384 483456 528576 644608 704768 966912 1057152 1289216 1409536 1933824 2114304 2819072 3466027 3867648 4228608 6932054 8457216 10398081 13864108 20796162 27728216 41592324 55456432 83184648 110912864 166369296 221825728 332738592 443651456 665477184 887302912 1330954368 1774605824 2661908736 3549211648 5323817472 10647634944