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747142411876 = 227229221292
BaseRepresentation
bin10101101111101010010…
…10000111011001100100
32122102111122021001101121
422313311022013121210
544220121424140001
61331122114503324
7104656612500400
oct12676512073144
92572448231347
10747142411876
11268952460473
12100974594b44
13555bc198503
142823a300100
151467cb396a1
hexadf5287664

747142411876 has 81 divisors (see below), whose sum is σ = 1575964430859. Its totient is φ = 309017162496.

The previous prime is 747142411819. The next prime is 747142411889. The reversal of 747142411876 is 678114241747.

It is a happy number.

The square root of 747142411876 is 864374.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40130506276 + 707011905600 = 200326^2 + 840840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 350934780 + ... + 350936908.

Almost surely, 2747142411876 is an apocalyptic number.

747142411876 is the 864374-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747142411876

747142411876 is an abundant number, since it is smaller than the sum of its proper divisors (828822018983).

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

747142411876 is an equidigital number, since it uses as much as digits as its factorization.

747142411876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 2167 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 52.

The spelling of 747142411876 in words is "seven hundred forty-seven billion, one hundred forty-two million, four hundred eleven thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2129 2842 3364 4258 5684 5887 8516 11774 14903 23548 29806 41209 59612 61741 82418 104321 123482 164836 208642 246964 417284 432187 864374 1728748 1790489 3025309 3580978 4532641 6050618 7161956 9065282 12101236 12533423 18130564 25066846 31728487 50133692 63456974 87733961 126913948 131446589 175467922 222099409 262893178 350935844 444198818 525786356 888397636 920126123 1840252246 3680504492 3811951081 6440882861 7623902162 12881765722 15247804324 25763531444 26683657567 53367315134 106734630268 186785602969 373571205938 747142411876