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10721719386 = 2377834219
BaseRepresentation
bin10011111110001000…
…00111010001011010
31000200012210210000000
421333010013101122
5133424230010021
64531523353430
7526460053050
oct117704072132
930605723000
1010721719386
114602149514
1220b2822876
13101b392771
14739d521d0
1542b420b26
hex27f10745a

10721719386 has 128 divisors (see below), whose sum is σ = 27904665600. Its totient is φ = 3025723248.

The previous prime is 10721719381. The next prime is 10721719387. The reversal of 10721719386 is 68391712701.

10721719386 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 2×107217193862 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10721719381) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2539185 + ... + 2543403.

It is an arithmetic number, because the mean of its divisors is an integer number (218005200).

Almost surely, 210721719386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10721719386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952332800).

10721719386 is an abundant number, since it is smaller than the sum of its proper divisors (17182946214).

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

10721719386 is an frugal number, since it uses more digits than its factorization.

10721719386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10721719386 in words is "ten billion, seven hundred twenty-one million, seven hundred nineteen thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 83 126 162 166 189 243 249 378 486 498 567 581 729 747 1134 1162 1458 1494 1701 1743 2187 2241 3402 3486 4219 4374 4482 5103 5229 6723 8438 10206 10458 12657 13446 15309 15687 20169 25314 29533 30618 31374 37971 40338 47061 59066 60507 75942 88599 94122 113913 121014 141183 177198 181521 227826 265797 282366 341739 350177 363042 423549 531594 683478 700354 797391 847098 1025217 1050531 1270647 1594782 2050434 2101062 2392173 2451239 2541294 3075651 3151593 4784346 4902478 6151302 6303186 7176519 7353717 9226953 9454779 14353038 14707434 18453906 18909558 21529557 22061151 28364337 43059114 44122302 56728674 64588671 66183453 85093011 129177342 132366906 170186022 198550359 255279033 397100718 510558066 595651077 765837099 1191302154 1531674198 1786953231 3573906462 5360859693 10721719386