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126445326784 = 267877321829
BaseRepresentation
bin111010111000010111…
…0101001000111000000
3110002101012012010200021
41311300232221013000
54032430000424114
6134031014103224
712064301354410
oct1656056510700
9402335163607
10126445326784
11496970aa577
122060a34ab14
13bc016049ba
146197358640
153450c57024
hex1d70ba91c0

126445326784 has 56 divisors (see below), whose sum is σ = 287087807840. Its totient is φ = 54128894976.

The previous prime is 126445326751. The next prime is 126445326793. The reversal of 126445326784 is 487623544621.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 231982 + ... + 553810.

Almost surely, 2126445326784 is an apocalyptic number.

126445326784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126445326784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143543903920).

126445326784 is an abundant number, since it is smaller than the sum of its proper divisors (160642481056).

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

126445326784 is an equidigital number, since it uses as much as digits as its factorization.

126445326784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322725 (or 322715 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 52.

The spelling of 126445326784 in words is "one hundred twenty-six billion, four hundred forty-five million, three hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 877 1754 3508 6139 7016 12278 14032 24556 28064 49112 56128 98224 196448 321829 392896 643658 1287316 2252803 2574632 4505606 5149264 9011212 10298528 18022424 20597056 36044848 72089696 144179392 282244033 564488066 1128976132 1975708231 2257952264 3951416462 4515904528 7902832924 9031809056 15805665848 18063618112 31611331696 63222663392 126445326784