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137827557801 = 337369927731
BaseRepresentation
bin1000000001011100101…
…0011010000110101001
3111011202102212101022000
42000113022122012221
54224232323322201
6143152254521213
712646331624403
oct2002712320651
9434672771260
10137827557801
11534a807716a
1222866206209
13ccc678bb3b
146956cc5b73
1538ba149d86
hex201729a1a9

137827557801 has 16 divisors (see below), whose sum is σ = 206986086720. Its totient is φ = 90626338080.

The previous prime is 137827557793. The next prime is 137827557809. The reversal of 137827557801 is 108755728731.

137827557801 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 2 + 7 + 557 + 80 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (137827557793) and next prime (137827557809).

It is not a de Polignac number, because 137827557801 - 23 = 137827557793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137827557809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34961895 + ... + 34965836.

It is an arithmetic number, because the mean of its divisors is an integer number (12936630420).

Almost surely, 2137827557801 is an apocalyptic number.

It is an amenable number.

137827557801 is a deficient number, since it is larger than the sum of its proper divisors (69158528919).

137827557801 is an equidigital number, since it uses as much as digits as its factorization.

137827557801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69927813 (or 69927807 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 137827557801 in words is "one hundred thirty-seven billion, eight hundred twenty-seven million, five hundred fifty-seven thousand, eight hundred one".

Divisors: 1 3 9 27 73 219 657 1971 69927731 209783193 629349579 1888048737 5104724363 15314173089 45942519267 137827557801