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10550271696 = 2437128310939
BaseRepresentation
bin10011101001101100…
…00101111011010000
31000020021012022222120
421310312011323100
5133101332143241
64502520534240
7522305554416
oct116466057320
930207168876
1010550271696
114524398308
122065321380
13cc19c4523
147212832b6
1541b356666
hex274d85ed0

10550271696 has 80 divisors (see below), whose sum is σ = 27738938880. Its totient is φ = 3454657920.

The previous prime is 10550271679. The next prime is 10550271707. The reversal of 10550271696 is 69617205501.

10550271696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105502716962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 958995 + ... + 969933.

It is an arithmetic number, because the mean of its divisors is an integer number (346736736).

Almost surely, 210550271696 is an apocalyptic number.

10550271696 is a gapful number since it is divisible by the number (16) 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 10550271696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869469440).

10550271696 is an abundant number, since it is smaller than the sum of its proper divisors (17188667184).

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

10550271696 is a wasteful number, since it uses less digits than its factorization.

10550271696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 10550271696 in words is "ten billion, five hundred fifty million, two hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 283 284 426 566 568 849 852 1132 1136 1698 1704 2264 3396 3408 4528 6792 10939 13584 20093 21878 32817 40186 43756 60279 65634 80372 87512 120558 131268 160744 175024 241116 262536 321488 482232 525072 776669 964464 1553338 2330007 3095737 3106676 4660014 6191474 6213352 9287211 9320028 12382948 12426704 18574422 18640056 24765896 37148844 37280112 49531792 74297688 148595376 219797327 439594654 659391981 879189308 1318783962 1758378616 2637567924 3516757232 5275135848 10550271696