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842265062500 = 225636712
BaseRepresentation
bin11000100000110101110…
…10001110110001100100
32222112000220022101002211
430100122322032301210
5102244424324000000
61442533051213204
7114565053622411
oct14203272166144
92875026271084
10842265062500
112a5225740814
121172a0a47204
136156b3908b4
142caa16a9108
1516d98a987ba
hexc41ae8ec64

842265062500 has 63 divisors (see below), whose sum is σ = 1842933265621. Its totient is φ = 336814250000.

The previous prime is 842265062453. The next prime is 842265062501. The reversal of 842265062500 is 5260562248.

The square root of 842265062500 is 917750.

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

It can be written as a sum of positive squares in 3 ways, for example, as 737905052196 + 104360010304 = 859014^2 + 323048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (842265062501) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 229435665 + ... + 229439335.

Almost surely, 2842265062500 is an apocalyptic number.

842265062500 is the 917750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842265062500

842265062500 is an abundant number, since it is smaller than the sum of its proper divisors (1000668203121).

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

842265062500 is an frugal number, since it uses more digits than its factorization.

842265062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 842265062500 in words is "eight hundred forty-two billion, two hundred sixty-five million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 3671 6250 7342 12500 14684 15625 18355 31250 36710 62500 73420 91775 183550 367100 458875 917750 1835500 2294375 4588750 9177500 11471875 13476241 22943750 26952482 45887500 53904964 57359375 67381205 114718750 134762410 229437500 269524820 336906025 673812050 1347624100 1684530125 3369060250 6738120500 8422650625 16845301250 33690602500 42113253125 84226506250 168453012500 210566265625 421132531250 842265062500