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27057147122247 = 31179179230925111
BaseRepresentation
bin1100010011011101110111…
…01001001001001001000111
310112210122020002211002020020
412021232323221021021013
512021301014130402442
6133313514244510223
75461546220560014
oct611567351111107
9115718202732206
1027057147122247
118691965199130
12304ba339ab373
13121362a2b70a8
146978040ba70b
1531dc426059ec
hex189bbba49247

27057147122247 has 64 divisors (see below), whose sum is σ = 40095627264000. Its totient is φ = 16092633398400.

The previous prime is 27057147122237. The next prime is 27057147122263. The reversal of 27057147122247 is 74222174175072.

It is not a de Polignac number, because 27057147122247 - 27 = 27057147122119 is a prime.

It is a super-2 number, since 2×270571471222472 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27057147122247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27057147122227) 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 63 ways as a sum of consecutive naturals, for example, 1077489222 + ... + 1077514332.

It is an arithmetic number, because the mean of its divisors is an integer number (626494176000).

Almost surely, 227057147122247 is an apocalyptic number.

27057147122247 is a deficient number, since it is larger than the sum of its proper divisors (13038480141753).

27057147122247 is a wasteful number, since it uses less digits than its factorization.

27057147122247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27692.

The product of its (nonzero) digits is 3073280, while the sum is 51.

It can be divided in two parts, 2705714 and 7122247, that added together give a triangular number (9827961 = T4433).

The spelling of 27057147122247 in words is "twenty-seven trillion, fifty-seven billion, one hundred forty-seven million, one hundred twenty-two thousand, two hundred forty-seven".

Divisors: 1 3 11 33 79 179 237 537 869 1969 2309 2607 5907 6927 14141 25111 25399 42423 75333 76197 155551 182411 276221 413311 466653 547233 828663 1239933 1983769 2006521 4494869 4546421 5951307 6019563 13484607 13639263 21821459 32651569 49443559 57981299 65464377 97954707 148330677 173943897 355094651 359167259 637794289 1065283953 1077501777 1913382867 3906041161 4580522621 10378652521 11718123483 13741567863 31135957563 50385748831 114165177731 151157246493 342495533193 819913549159 2459740647477 9019049040749 27057147122247