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7108972128 = 25347138629
BaseRepresentation
bin1101001111011101…
…00100111001100000
3200100102210012110000
412213232210321200
5104024344102003
63133225540000
7341111160156
oct64756447140
920312705400
107108972128
113018913a85
121464944600
13893a6b4ab
144b62053d6
152b91921a3
hex1a7ba4e60

7108972128 has 120 divisors (see below), whose sum is σ = 21202307280. Its totient is φ = 2336221440.

The previous prime is 7108972069. The next prime is 7108972223. The reversal of 7108972128 is 8212798017.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 164718 + ... + 203346.

It is an arithmetic number, because the mean of its divisors is an integer number (176685894).

Almost surely, 27108972128 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 7108972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10601153640).

7108972128 is an abundant number, since it is smaller than the sum of its proper divisors (14093335152).

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

7108972128 is a wasteful number, since it uses less digits than its factorization.

7108972128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38722 (or 38705 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 7108972128 is about 84314.7207075965. The cubic root of 7108972128 is about 1922.8065985243.

The spelling of 7108972128 in words is "seven billion, one hundred eight million, nine hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6816 7668 10224 11502 15336 20448 23004 30672 38629 46008 61344 77258 92016 115887 154516 184032 231774 309032 347661 463548 618064 695322 927096 1042983 1236128 1390644 1854192 2085966 2742659 2781288 3128949 3708384 4171932 5485318 5562576 6257898 8227977 8343864 10970636 11125152 12515796 16455954 16687728 21941272 24683931 25031592 32911908 33375456 43882544 49367862 50063184 65823816 74051793 87765088 98735724 100126368 131647632 148103586 197471448 222155379 263295264 296207172 394942896 444310758 592414344 789885792 888621516 1184828688 1777243032 2369657376 3554486064 7108972128