Search a number
-
+
10147682944 = 27719596081
BaseRepresentation
bin10010111001101100…
…10101101010000000
3222012012122201001001
421130312111222000
5131240301323234
64354540021344
7506316611320
oct113466255200
928165581031
1010147682944
114338114433
121b72531854
13c59487829
146c3a07280
153e5d30d14
hex25cd95a80

10147682944 has 64 divisors (see below), whose sum is σ = 24320145600. Its totient is φ = 4120104960.

The previous prime is 10147682933. The next prime is 10147682947. The reversal of 10147682944 is 44928674101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10147682894 and 10147682903.

It is not an unprimeable number, because it can be changed into a prime (10147682947) 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, 281017 + ... + 315064.

It is an arithmetic number, because the mean of its divisors is an integer number (380002275).

Almost surely, 210147682944 is an apocalyptic number.

10147682944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10147682944 is an abundant number, since it is smaller than the sum of its proper divisors (14172462656).

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

10147682944 is an equidigital number, since it uses as much as digits as its factorization.

10147682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596121 (or 596109 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 10147682944 in words is "ten billion, one hundred forty-seven million, six hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 596081 1192162 2384324 4172567 4768648 8345134 9537296 11325539 16690268 19074592 22651078 33380536 38149184 45302156 66761072 76298368 79278773 90604312 133522144 158557546 181208624 267044288 317115092 362417248 534088576 634230184 724834496 1268460368 1449668992 2536920736 5073841472 10147682944