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10127328684 = 22311491156257
BaseRepresentation
bin10010110111010001…
…01100010110101100
3222010210100121020120
421123220230112230
5131220044004214
64352531444540
7505651605414
oct113350542654
928123317216
1010127328684
114327681a30
121b67756750
13c551ac0a5
146c1029644
153e415eea9
hex25ba2c5ac

10127328684 has 48 divisors (see below), whose sum is σ = 25831322496. Its totient is φ = 3062617600.

The previous prime is 10127328683. The next prime is 10127328691. The reversal of 10127328684 is 48682372101.

10127328684 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 (10127328683) 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, 13317 + ... + 142940.

It is an arithmetic number, because the mean of its divisors is an integer number (538152552).

Almost surely, 210127328684 is an apocalyptic number.

It is an amenable number.

10127328684 is an abundant number, since it is smaller than the sum of its proper divisors (15703993812).

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

10127328684 is a wasteful number, since it uses less digits than its factorization.

10127328684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156766 (or 156764 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 10127328684 in words is "ten billion, one hundred twenty-seven million, three hundred twenty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 491 982 1473 1964 2946 5401 5892 10802 16203 21604 32406 64812 156257 312514 468771 625028 937542 1718827 1875084 3437654 5156481 6875308 10312962 20625924 76722187 153444374 230166561 306888748 460333122 843944057 920666244 1687888114 2531832171 3375776228 5063664342 10127328684