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10027216712 = 23192313732089
BaseRepresentation
bin10010101011010101…
…10010111101001000
3221212210222101102202
421111222302331020
5131013431413322
64334554015332
7503324635652
oct112552627510
927783871382
1010027216712
114286114367
121b3a117548
13c3a529636
146b1a096d2
153da487292
hex255ab2f48

10027216712 has 64 divisors (see below), whose sum is σ = 20675952000. Its totient is φ = 4537741824.

The previous prime is 10027216711. The next prime is 10027216723. The reversal of 10027216712 is 21761272001.

10027216712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10027216711) 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 15 ways as a sum of consecutive naturals, for example, 4798964 + ... + 4801052.

It is an arithmetic number, because the mean of its divisors is an integer number (323061750).

Almost surely, 210027216712 is an apocalyptic number.

It is an amenable number.

10027216712 is an abundant number, since it is smaller than the sum of its proper divisors (10648735288).

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

10027216712 is a wasteful number, since it uses less digits than its factorization.

10027216712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

Adding to 10027216712 its reverse (21761272001), we get a palindrome (31788488713).

The spelling of 10027216712 in words is "ten billion, twenty-seven million, two hundred sixteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 437 874 1373 1748 2089 2746 3496 4178 5492 8356 10984 16712 26087 31579 39691 48047 52174 63158 79382 96094 104348 126316 158764 192188 208696 252632 317528 384376 600001 912893 1200002 1825786 2400004 2868197 3651572 4800008 5736394 7303144 11472788 22945576 54495743 65968531 108991486 131937062 217982972 263874124 435965944 527748248 1253402089 2506804178 5013608356 10027216712