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126019824841 = 1725728844089
BaseRepresentation
bin111010101011101011…
…1011110110011001001
3110001021112112101202001
41311113113132303021
54031042033343331
6133520454111001
712050613560101
oct1652727366311
9401245471661
10126019824841
11494989a6679
122050b94b461
13bb644048c1
146156a36201
153428707561
hex1d575decc9

126019824841 has 8 divisors (see below), whose sum is σ = 133951953960. Its totient is φ = 118145384448.

The previous prime is 126019824823. The next prime is 126019824893. The reversal of 126019824841 is 148428910621.

It can be written as a sum of positive squares in 4 ways, for example, as 85134984841 + 40884840000 = 291779^2 + 202200^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 126019824841 - 211 = 126019822793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126019824791 and 126019824800.

It is not an unprimeable number, because it can be changed into a prime (126019824041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14417676 + ... + 14426413.

It is an arithmetic number, because the mean of its divisors is an integer number (16743994245).

Almost surely, 2126019824841 is an apocalyptic number.

It is an amenable number.

126019824841 is a deficient number, since it is larger than the sum of its proper divisors (7932129119).

126019824841 is a wasteful number, since it uses less digits than its factorization.

126019824841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28844363.

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 126019824841 in words is "one hundred twenty-six billion, nineteen million, eight hundred twenty-four thousand, eight hundred forty-one".

Divisors: 1 17 257 4369 28844089 490349513 7412930873 126019824841