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71044704252 = 223229641106163
BaseRepresentation
bin100001000101010011…
…0000010011111111100
320210101020010220200200
41002022212002133330
52130444421014002
652345410323500
75063361010434
oct1021246023774
9223336126620
1071044704252
1128147979915
1211928889590
136912a07652
14361d67d2c4
151cac1c2b1c
hex108a9827fc

71044704252 has 72 divisors (see below), whose sum is σ = 186069396240. Its totient is φ = 22829076480.

The previous prime is 71044704251. The next prime is 71044704257. The reversal of 71044704252 is 25240744017.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71044704251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616123 + ... + 722285.

It is an arithmetic number, because the mean of its divisors is an integer number (2584297170).

Almost surely, 271044704252 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 71044704252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93034698120).

71044704252 is an abundant number, since it is smaller than the sum of its proper divisors (115024691988).

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

71044704252 is a wasteful number, since it uses less digits than its factorization.

71044704252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106843 (or 106838 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 71044704252 in words is "seventy-one billion, forty-four million, seven hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 641 1044 1282 1923 2564 3846 5769 7692 11538 18589 23076 37178 55767 74356 106163 111534 167301 212326 223068 318489 334602 424652 636978 669204 955467 1273956 1910934 3078727 3821868 6157454 9236181 12314908 18472362 27708543 36944724 55417086 68050483 110834172 136100966 204151449 272201932 408302898 612454347 816605796 1224908694 1973464007 2449817388 3946928014 5920392021 7893856028 11840784042 17761176063 23681568084 35522352126 71044704252