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2733129036 = 2232119771153
BaseRepresentation
bin1010001011101000…
…0011110101001100
321001110212100012100
42202322003311030
521044140112121
61131112235100
7124505133141
oct24272036514
97043770170
102733129036
111182864330
1264339ba90
13347315a21
141bcdb83c8
1510ee2b026
hexa2e83d4c

2733129036 has 72 divisors (see below), whose sum is σ = 7614616464. Its totient is φ = 819671040.

The previous prime is 2733129029. The next prime is 2733129059. The reversal of 2733129036 is 6309213372.

2733129036 is a `hidden beast` number, since 2 + 7 + 331 + 290 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2836 + ... + 73988.

It is an arithmetic number, because the mean of its divisors is an integer number (105758562).

Almost surely, 22733129036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2733129036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807308232).

2733129036 is an abundant number, since it is smaller than the sum of its proper divisors (4881487428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2733129036 is a wasteful number, since it uses less digits than its factorization.

2733129036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71271 (or 71266 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 2733129036 is about 52279.3366063495. The cubic root of 2733129036 is about 1398.1487497294.

It can be divided in two parts, 2733 and 129036, that added together give a square (131769 = 3632).

The spelling of 2733129036 in words is "two billion, seven hundred thirty-three million, one hundred twenty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 12804 19206 38412 71153 142306 213459 284612 426918 640377 782683 853836 1280754 1565366 2348049 2561508 3130732 4696098 6901841 7044147 9392196 13803682 14088294 20705523 27607364 28176588 41411046 62116569 75920251 82822092 124233138 151840502 227760753 248466276 303681004 455521506 683282259 911043012 1366564518 2733129036