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2275639647104 = 27174731371089
BaseRepresentation
bin100001000111010110101…
…100010101101110000000
322001112211020110201202202
4201013112230111232000
5244241002222201404
64501225303132332
7323260320563405
oct41072654255600
98045736421682
102275639647104
117a810328942a
1230904b1440a8
13136790527385
147c1da5922ac
153e2dbc1921e
hex211d6b15b80

2275639647104 has 128 divisors (see below), whose sum is σ = 4918040323200. Its totient is φ = 1044741095424.

The previous prime is 2275639647103. The next prime is 2275639647109. The reversal of 2275639647104 is 4017469365722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2275639647104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275639647103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31975592 + ... + 32046680.

It is an arithmetic number, because the mean of its divisors is an integer number (38422190025).

Almost surely, 22275639647104 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 2275639647104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459020161600).

2275639647104 is an abundant number, since it is smaller than the sum of its proper divisors (2642400676096).

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

2275639647104 is a wasteful number, since it uses less digits than its factorization.

2275639647104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71480 (or 71468 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 2275639647104 in words is "two trillion, two hundred seventy-five billion, six hundred thirty-nine million, six hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 272 313 376 544 626 752 799 1088 1252 1504 1598 2176 2504 3008 3196 5008 5321 6016 6392 10016 10642 12784 14711 20032 21284 25568 29422 40064 42568 51136 58844 71089 85136 102272 117688 142178 170272 235376 250087 284356 340544 470752 500174 568712 681088 941504 1000348 1137424 1208513 1883008 2000696 2274848 2417026 3341183 4001392 4549696 4834052 6682366 8002784 9099392 9668104 13364732 16005568 19336208 22250857 26729464 32011136 38672416 44501714 53458928 56800111 77344832 89003428 106917856 113600222 154689664 178006856 213835712 227200444 356013712 378264569 427671424 454400888 712027424 756529138 908801776 1045790279 1424054848 1513058276 1817603552 2091580558 2848109696 3026116552 3635207104 4183161116 6052233104 7270414208 8366322232 12104466208 16732644464 17778434743 24208932416 33465288928 35556869486 48417864832 66930577856 71113738972 133861155712 142227477944 284454955888 568909911776 1137819823552 2275639647104