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10168947495 = 335747228953
BaseRepresentation
bin10010111100001110…
…11101001100100111
3222020200200001112000
421132013131030213
5131311222304440
64401015500343
7506665425150
oct113607351447
928220601460
1010168947495
114349118843
121b796876b3
13c609c16c5
146c6780927
153e7b31730
hex25e1dd327

10168947495 has 64 divisors (see below), whose sum is σ = 21100400640. Its totient is φ = 4549734144.

The previous prime is 10168947487. The next prime is 10168947499. The reversal of 10168947495 is 59474986101.

10168947495 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 89 + 474 + 95 = 666.

It is not a de Polignac number, because 10168947495 - 23 = 10168947487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10168947499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70062 + ... + 158891.

It is an arithmetic number, because the mean of its divisors is an integer number (329693760).

Almost surely, 210168947495 is an apocalyptic number.

10168947495 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10168947495 is an abundant number, since it is smaller than the sum of its proper divisors (10931453145).

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

10168947495 is a wasteful number, since it uses less digits than its factorization.

10168947495 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229021 (or 229015 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10168947495 in words is "ten billion, one hundred sixty-eight million, nine hundred forty-seven thousand, four hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 47 63 105 135 141 189 235 315 329 423 705 945 987 1269 1645 2115 2961 4935 6345 8883 14805 44415 228953 686859 1144765 1602671 2060577 3434295 4808013 6181731 8013355 10302885 10760791 14424039 24040065 30908655 32282373 43272117 53803955 72120195 75325537 96847119 161411865 216360585 225976611 290541357 376627685 484235595 677929833 1129883055 1452706785 2033789499 3389649165 10168947495