Search a number
-
+
10988940704 = 25734124419
BaseRepresentation
bin10100011101111110…
…11110110110100000
31001100211122000201212
422032333132312200
5140001132100304
65014231045252
7536213312000
oct121677366640
931324560655
1010988940704
114729a74885
122168210828
1310618548a1
14763632000
15444b0766e
hex28efdeda0

10988940704 has 96 divisors (see below), whose sum is σ = 25846128000. Its totient is φ = 4594490880.

The previous prime is 10988940679. The next prime is 10988940707. The reversal of 10988940704 is 40704988901.

It is not an unprimeable number, because it can be changed into a prime (10988940707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437807 + ... + 462225.

It is an arithmetic number, because the mean of its divisors is an integer number (269230500).

Almost surely, 210988940704 is an apocalyptic number.

10988940704 is a gapful number since it is divisible by the number (14) 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 10988940704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923064000).

10988940704 is an abundant number, since it is smaller than the sum of its proper divisors (14857187296).

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

10988940704 is an equidigital number, since it uses as much as digits as its factorization.

10988940704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24491 (or 24469 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 10988940704 in words is "ten billion, nine hundred eighty-eight million, nine hundred forty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 343 392 574 656 686 784 1148 1312 1372 1568 2009 2296 2744 4018 4592 5488 8036 9184 10976 14063 16072 24419 28126 32144 48838 56252 64288 97676 112504 170933 195352 225008 341866 390704 450016 683732 781408 1001179 1196531 1367464 2002358 2393062 2734928 4004716 4786124 5469856 7008253 8009432 8375717 9572248 14016506 16018864 16751434 19144496 28033012 32037728 33502868 38288992 49057771 56066024 67005736 98115542 112132048 134011472 196231084 224264096 268022944 343404397 392462168 686808794 784924336 1373617588 1569848672 2747235176 5494470352 10988940704