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942833232016 = 241327122632
BaseRepresentation
bin11011011100001010011…
…11010110100010010000
310100010121200001201101221
431232011033112202100
5110421410301411031
62001044232134424
7125055200145664
oct15560517264220
93303550051357
10942833232016
11333942863aa5
12132888b37414
136aba7802a00
14338c1d888a4
15197d2b14a11
hexdb853d6890

942833232016 has 135 divisors (see below), whose sum is σ = 2013977000217. Its totient is φ = 427393599360.

The previous prime is 942833231993. The next prime is 942833232023. The reversal of 942833232016 is 610232338249.

The square root of 942833232016 is 970996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 139472371600 + 803360860416 = 373460^2 + 896304^2 .

It is a super-5 number, since 5×9428332320165 (a number of 61 digits) contains 55555 as substring.

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 26 ways as a sum of consecutive naturals, for example, 3584917101 + ... + 3584917363.

Almost surely, 2942833232016 is an apocalyptic number.

942833232016 is the 970996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 942833232016

942833232016 is an abundant number, since it is smaller than the sum of its proper divisors (1071143768201).

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

942833232016 is an equidigital number, since it uses as much as digits as its factorization.

942833232016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 942833232016 in words is "nine hundred forty-two billion, eight hundred thirty-three million, two hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 169 208 263 284 338 526 568 676 923 1052 1136 1352 1846 2104 2704 3419 3692 4208 5041 6838 7384 10082 11999 13676 14768 18673 20164 23998 27352 37346 40328 44447 47996 54704 65533 69169 74692 80656 88894 95992 131066 138338 149384 177788 191984 242749 262132 276676 298768 355576 485498 524264 553352 711152 851929 899197 970996 1048528 1106704 1325783 1703858 1798394 1941992 2651566 3155737 3407716 3596788 3883984 4910999 5303132 6311474 6815432 7193576 9821998 10606264 11689561 12622948 13630864 14387152 17235179 19643996 21212528 23379122 25245896 34470358 39287992 46758244 50491792 63842987 68940716 78575984 93516488 127685974 137881432 187032976 224057327 255371948 275762864 348680929 448114654 510743896 697361858 829958831 896229308 1021487792 1394723716 1659917662 1792458616 2789447432 3319835324 3584917232 4532852077 5578894864 6639670648 9065704154 13279341296 18131408308 36262816616 58927077001 72525633232 117854154002 235708308004 471416616008 942833232016