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27131312355 = 35729471011877
BaseRepresentation
bin11001010001001001…
…101111100011100011
32121000211100110201120
4121101021233203203
5421031103443410
620244114103323
71650224231010
oct312111574343
977024313646
1027131312355
1110562a115a4
12531227ab43
132734c687a4
141455464707
15a8bd72570
hex65126f8e3

27131312355 has 128 divisors (see below), whose sum is σ = 52961402880. Its totient is φ = 11598182400.

The previous prime is 27131312291. The next prime is 27131312389. The reversal of 27131312355 is 55321313172.

It is not a de Polignac number, because 27131312355 - 26 = 27131312291 is a prime.

It is a super-2 number, since 2×271313123552 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14453677 + ... + 14455553.

It is an arithmetic number, because the mean of its divisors is an integer number (413760960).

Almost surely, 227131312355 is an apocalyptic number.

27131312355 is a deficient number, since it is larger than the sum of its proper divisors (25830090525).

27131312355 is a wasteful number, since it uses less digits than its factorization.

27131312355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069.

The product of its digits is 18900, while the sum is 33.

The spelling of 27131312355 in words is "twenty-seven billion, one hundred thirty-one million, three hundred twelve thousand, three hundred fifty-five".

Divisors: 1 3 5 7 15 21 29 35 47 87 101 105 141 145 203 235 303 329 435 505 609 705 707 987 1015 1363 1515 1645 1877 2121 2929 3045 3535 4089 4747 4935 5631 6815 8787 9385 9541 10605 13139 14241 14645 20445 20503 23735 28155 28623 33229 39417 43935 47705 54433 61509 65695 71205 88219 99687 102515 137663 143115 163299 166145 189577 197085 264657 272165 307545 381031 412989 441095 498435 568731 617533 688315 816495 947885 963641 1143093 1323285 1327039 1852599 1905155 2064945 2558351 2843655 2890923 3087665 3981117 4818205 5497733 5715465 6635195 7675053 8910119 9262995 12791755 14454615 16493199 17908457 19905585 26730357 27488665 38375265 38484131 44550595 53725371 62370833 82465995 89542285 115452393 133651785 187112499 192420655 258393451 268626855 311854165 577261965 775180353 935562495 1291967255 1808754157 3875901765 5426262471 9043770785 27131312355