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2142783171264 = 26352121420977
BaseRepresentation
bin11111001011100111110…
…101000110101011000000
321120211220020120110221110
4133023213311012223000
5240101404442440024
64320214143523320
7310545110302221
oct37134765065300
97524806513843
102142783171264
1175682726876a
122a73518b9540
131270a9910768
14759d59a1248
153ab13212629
hex1f2e7d46ac0

2142783171264 has 56 divisors (see below), whose sum is σ = 5680329262128. Its totient is φ = 712890081280.

The previous prime is 2142783171253. The next prime is 2142783171311. The reversal of 2142783171264 is 4621713872412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10610457 + ... + 10810520.

Almost surely, 22142783171264 is an apocalyptic number.

2142783171264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142783171264 is an abundant number, since it is smaller than the sum of its proper divisors (3537546090864).

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

2142783171264 is a wasteful number, since it uses less digits than its factorization.

2142783171264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21421513 (or 21421503 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 2142783171264 in words is "two trillion, one hundred forty-two billion, seven hundred eighty-three million, one hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 521 1042 1563 2084 3126 4168 6252 8336 12504 16672 25008 33344 50016 100032 21420977 42841954 64262931 85683908 128525862 171367816 257051724 342735632 514103448 685471264 1028206896 1370942528 2056413792 4112827584 11160329017 22320658034 33480987051 44641316068 66961974102 89282632136 133923948204 178565264272 267847896408 357130528544 535695792816 714261057088 1071391585632 2142783171264