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57172629200401 = 11132391672839313
BaseRepresentation
bin11001111111111100010100…
…10000010001111000010001
321111102122112211102020120001
430333332022100101320101
524443204021033403101
6321332424313450001
715020405022605641
oct1477761220217021
9244378484366501
1057172629200401
11172428597727a0
1264b4531a10901
1325b9481900660
14101925475a521
156922d0906901
hex33ff8a411e11

57172629200401 has 16 divisors (see below), whose sum is σ = 67448881140480. Its totient is φ = 47776290750720.

The previous prime is 57172629200369. The next prime is 57172629200413. The reversal of 57172629200401 is 10400292627175.

57172629200401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 57172629200401 - 25 = 57172629200369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57172629200101) 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 15 ways as a sum of consecutive naturals, for example, 836385480 + ... + 836453833.

It is an arithmetic number, because the mean of its divisors is an integer number (4215555071280).

Almost surely, 257172629200401 is an apocalyptic number.

It is an amenable number.

57172629200401 is a deficient number, since it is larger than the sum of its proper divisors (10276251940079).

57172629200401 is a wasteful number, since it uses less digits than its factorization.

57172629200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672839576.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 57172629200401 in words is "fifty-seven trillion, one hundred seventy-two billion, six hundred twenty-nine million, two hundred thousand, four hundred one".

Divisors: 1 11 13 143 239 2629 3107 34177 1672839313 18401232443 21746911069 239216021759 399808595807 4397894553877 5197511745491 57172629200401