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127352016157421 = 1123721933983453
BaseRepresentation
bin11100111101001101110011…
…101011110011101011101101
3121200220201210222020121201202
4130331031303223303223231
5113143013412114014141
61130504413014215245
735552610452340536
oct3475156353635355
9550821728217652
10127352016157421
113763a761073800
1212349810654525
13560a322237373
142363c287db68d
15eacab8dad49b
hex73d373af3aed

127352016157421 has 36 divisors (see below), whose sum is σ = 144612979711956. Its totient is φ = 112061834311680.

The previous prime is 127352016157403. The next prime is 127352016157507. The reversal of 127352016157421 is 124751610253721.

It can be written as a sum of positive squares in 6 ways, for example, as 1037209849225 + 126314806308196 = 1018435^2 + 11238986^2 .

It is not a de Polignac number, because 127352016157421 - 26 = 127352016157357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127352016157621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29978531 + ... + 33961983.

It is an arithmetic number, because the mean of its divisors is an integer number (4017027214221).

Almost surely, 2127352016157421 is an apocalyptic number.

127352016157421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127352016157421 is a deficient number, since it is larger than the sum of its proper divisors (17260963554535).

127352016157421 is a wasteful number, since it uses less digits than its factorization.

127352016157421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983742 (or 3983694 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 127352016157421 in words is "one hundred twenty-seven trillion, three hundred fifty-two billion, sixteen million, one hundred fifty-seven thousand, four hundred twenty-one".

Divisors: 1 11 37 121 193 407 1369 2123 4477 7141 15059 23353 78551 165649 264217 864061 2906387 3983453 31970257 43817983 147387761 481997813 768806429 1621265371 5453347157 8456870719 17833919081 28445837873 59986818727 93025577909 312904216603 659855005997 1052496001301 3441946382633 11577456014311 127352016157421