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71156051200 = 285213855241
BaseRepresentation
bin100001001000100111…
…0110010110100000000
320210122222122220222201
41002101032302310000
52131211422114300
652404425042544
75066212312213
oct1022116626400
9223588586881
1071156051200
11281a4810493
121195a026454
13692cac1b10
14363038577a
151cb6d6966a
hex10913b2d00

71156051200 has 108 divisors (see below), whose sum is σ = 189670439308. Its totient is φ = 26272972800.

The previous prime is 71156051191. The next prime is 71156051209. The reversal of 71156051200 is 215065117.

It is an interprime number because it is at equal distance from previous prime (71156051191) and next prime (71156051209).

It can be written as a sum of positive squares in 6 ways, for example, as 1738556416 + 69417494784 = 41696^2 + 263472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71156051209) 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 11 ways as a sum of consecutive naturals, for example, 344421 + ... + 510820.

Almost surely, 271156051200 is an apocalyptic number.

It is an amenable number.

71156051200 is an abundant number, since it is smaller than the sum of its proper divisors (118514388108).

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

71156051200 is a wasteful number, since it uses less digits than its factorization.

71156051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855280 (or 855261 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 71156051200 in words is "seventy-one billion, one hundred fifty-six million, fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4160 5200 6400 8320 10400 16640 20800 41600 83200 855241 1710482 3420964 4276205 6841928 8552410 11118133 13683856 17104820 21381025 22236266 27367712 34209640 42762050 44472532 54735424 55590665 68419280 85524100 88945064 109470848 111181330 136838560 171048200 177890128 218941696 222362660 273677120 277953325 342096400 355780256 444725320 547354240 555906650 684192800 711560512 889450640 1094708480 1111813300 1368385600 1423121024 1778901280 2223626600 2736771200 2846242048 3557802560 4447253200 5473542400 7115605120 8894506400 14231210240 17789012800 35578025600 71156051200