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71058936096 = 2534132120753
BaseRepresentation
bin100001000101101110…
…0010101000100100000
320210102012220222010000
41002023130111010200
52131012041423341
652351035340000
75063622663621
oct1021334250440
9223365828100
1071058936096
1128154a0a475
12119315b1600
13691594b465
143621505a48
151cad5848b6
hex108b715120

71058936096 has 120 divisors (see below), whose sum is σ = 209150634924. Its totient is φ = 23667240960.

The previous prime is 71058936077. The next prime is 71058936097. The reversal of 71058936096 is 69063985017.

It can be written as a sum of positive squares in 2 ways, for example, as 69347955600 + 1710980496 = 263340^2 + 41364^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (71058936097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3413656 + ... + 3434408.

Almost surely, 271058936096 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 71058936096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104575317462).

71058936096 is an abundant number, since it is smaller than the sum of its proper divisors (138091698828).

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

71058936096 is a wasteful number, since it uses less digits than its factorization.

71058936096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22096 (or 22079 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 71058936096 in words is "seventy-one billion, fifty-eight million, nine hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1321 2592 2642 3963 5284 7926 10568 11889 15852 20753 21136 23778 31704 35667 41506 42272 47556 62259 63408 71334 83012 95112 107001 124518 126816 142668 166024 186777 190224 214002 249036 285336 332048 373554 380448 428004 498072 560331 570672 664096 747108 856008 996144 1120662 1141344 1494216 1680993 1712016 1992288 2241324 2988432 3361986 3424032 4482648 5976864 6723972 8965296 13447944 17930592 26895888 27414713 53791776 54829426 82244139 109658852 164488278 219317704 246732417 328976556 438635408 493464834 657953112 740197251 877270816 986929668 1315906224 1480394502 1973859336 2220591753 2631812448 2960789004 3947718672 4441183506 5921578008 7895437344 8882367012 11843156016 17764734024 23686312032 35529468048 71058936096