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2638872005 = 571117237641
BaseRepresentation
bin1001110101001001…
…1111110111000101
320210220111120212012
42131102133313011
520401022401010
61113504104005
7122252020250
oct23522376705
96726446765
102638872005
111134635660
12617905005
13330933233
141b0680097
15106a0d005
hex9d49fdc5

2638872005 has 96 divisors (see below), whose sum is σ = 4313993472. Its totient is φ = 1504051200.

The previous prime is 2638871999. The next prime is 2638872007. The reversal of 2638872005 is 5002788362.

It is not a de Polignac number, because 2638872005 - 210 = 2638870981 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 (2638872007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4116485 + ... + 4117125.

It is an arithmetic number, because the mean of its divisors is an integer number (44937432).

Almost surely, 22638872005 is an apocalyptic number.

It is an amenable number.

2638872005 is a deficient number, since it is larger than the sum of its proper divisors (1675121467).

2638872005 is a wasteful number, since it uses less digits than its factorization.

2638872005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 2638872005 is about 51369.9523554383. The cubic root of 2638872005 is about 1381.8877764746.

The spelling of 2638872005 in words is "two billion, six hundred thirty-eight million, eight hundred seventy-two thousand, five".

Divisors: 1 5 7 11 17 35 37 55 77 85 119 185 187 259 289 385 407 595 629 641 935 1295 1309 1445 2023 2035 2849 3145 3179 3205 4403 4487 6545 6919 7051 10115 10693 10897 14245 15895 22015 22253 22435 23717 34595 35255 48433 49357 53465 54485 74851 76279 111265 117623 118585 119867 166019 185249 242165 246785 260887 374255 381395 403189 588115 599335 823361 830095 839069 926245 1296743 1304435 1826209 2015945 2037739 2822323 4116805 4195345 4435079 6483715 6854213 9131045 10188695 14111615 14264173 22175395 31045553 34271065 47979491 71320865 75396343 155227765 239897455 376981715 527774401 2638872005