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811158042112 = 2911241931249
BaseRepresentation
bin10111100110111001100…
…10010111011000000000
32212112201222222000020121
423303130302113120000
5101242222424321422
61420350231550024
7112414152411025
oct13633462273000
92775658860217
10811158042112
11293012627a00
1211125b22b314
135b65185a562
142b39021554c
1516177b9d8c7
hexbcdcc97600

811158042112 has 120 divisors (see below), whose sum is σ = 1785774375000. Its totient is φ = 367816458240.

The previous prime is 811158042041. The next prime is 811158042137. The reversal of 811158042112 is 211240851118.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25942264 + ... + 25973512.

It is an arithmetic number, because the mean of its divisors is an integer number (14881453125).

Almost surely, 2811158042112 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 811158042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892887187500).

811158042112 is an abundant number, since it is smaller than the sum of its proper divisors (974616332888).

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

811158042112 is a wasteful number, since it uses less digits than its factorization.

811158042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31708 (or 31681 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 34.

The spelling of 811158042112 in words is "eight hundred eleven billion, one hundred fifty-eight million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 419 484 512 704 838 968 1408 1676 1936 2816 3352 3872 4609 5632 6704 7744 9218 13408 15488 18436 26816 30976 31249 36872 50699 53632 61952 62498 73744 101398 107264 124996 147488 202796 214528 249992 294976 343739 405592 499984 589952 687478 811184 999968 1179904 1374956 1622368 1999936 2359808 2749912 3244736 3781129 3999872 5499824 6489472 7562258 7999744 10999648 12978944 13093331 15124516 15999488 21999296 25957888 26186662 30249032 43998592 52373324 60498064 87997184 104746648 120996128 144026641 175994368 209493296 241992256 288053282 418986592 483984512 576106564 837973184 967969024 1152213128 1584293051 1675946368 1935938048 2304426256 3168586102 3351892736 4608852512 6337172204 6703785472 9217705024 12674344408 18435410048 25348688816 36870820096 50697377632 73741640192 101394755264 202789510528 405579021056 811158042112