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126955406448 = 2432134110611559
BaseRepresentation
bin111011000111100100…
…0011100010001110000
3110010200201222212102200
41312033020130101300
54040001041001243
6134153354543200
712113034102213
oct1661710342160
9403621885380
10126955406448
1149929020a12
1220731137b00
13bc831a89a0
146204db577a
153480911ad3
hex1d8f21c470

126955406448 has 240 divisors, whose sum is σ = 392582998080. Its totient is φ = 38050099200.

The previous prime is 126955406447. The next prime is 126955406453. The reversal of 126955406448 is 844604559621.

It is a happy number.

126955406448 is a `hidden beast` number, since 1 + 2 + 6 + 95 + 540 + 6 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×1269554064482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126955406394 and 126955406403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126955406441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 81433093 + ... + 81434651.

It is an arithmetic number, because the mean of its divisors is an integer number (1635762492).

Almost surely, 2126955406448 is an apocalyptic number.

126955406448 is a gapful number since it is divisible by the number (18) 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 126955406448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196291499040).

126955406448 is an abundant number, since it is smaller than the sum of its proper divisors (265627591632).

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

126955406448 is a wasteful number, since it uses less digits than its factorization.

126955406448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 126955406448 in words is "one hundred twenty-six billion, nine hundred fifty-five million, four hundred six thousand, four hundred forty-eight".