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126448920753 = 3172479390603
BaseRepresentation
bin111010111000011110…
…0010110100010110001
3110002101102221201200020
41311300330112202301
54032431410431003
6134031223114053
712064344043431
oct1656074264261
9402342851606
10126448920753
11496991347a1
122060b5a2929
13bc022927cc
146197a122c1
153451216d53
hex1d70f168b1

126448920753 has 8 divisors (see below), whose sum is σ = 178516123488. Its totient is φ = 79340499264.

The previous prime is 126448920739. The next prime is 126448920757. The reversal of 126448920753 is 357029844621.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 126448920753 - 214 = 126448904369 is a prime.

It is a super-3 number, since 3×1264489207533 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 2479390603 = 126448920753 / (1 + 2 + 6 + 4 + 4 + 8 + 9 + 2 + 0 + 7 + 5 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126448920696 and 126448920705.

It is not an unprimeable number, because it can be changed into a prime (126448920757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239695251 + ... + 1239695352.

It is an arithmetic number, because the mean of its divisors is an integer number (22314515436).

It is a 1-persistent number, because it is pandigital, but 2⋅126448920753 = 252897841506 is not.

Almost surely, 2126448920753 is an apocalyptic number.

It is an amenable number.

126448920753 is a deficient number, since it is larger than the sum of its proper divisors (52067202735).

126448920753 is a wasteful number, since it uses less digits than its factorization.

126448920753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479390623.

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 126448920753 in words is "one hundred twenty-six billion, four hundred forty-eight million, nine hundred twenty thousand, seven hundred fifty-three".

Divisors: 1 3 17 51 2479390603 7438171809 42149640251 126448920753