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9941137843848 = 23317199233525493
BaseRepresentation
bin1001000010101001100111…
…1111010110011010001000
31022012100210222200220101220
42100222121333112122020
52300333422242000343
633050521244442040
72044136443310511
oct220523177263210
938170728626356
109941137843848
113193016169982
1211467aab49320
135715a336c323
14265221829a08
151238d254e183
hex90a99fd6688

9941137843848 has 128 divisors (see below), whose sum is σ = 26560568736000. Its totient is φ = 3089792065536.

The previous prime is 9941137843837. The next prime is 9941137843951. The reversal of 9941137843848 is 8483487311499.

It is a Cunningham number, because it is equal to 31529572-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18654990 + ... + 19180482.

It is an arithmetic number, because the mean of its divisors is an integer number (207504443250).

Almost surely, 29941137843848 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 9941137843848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280284368000).

9941137843848 is an abundant number, since it is smaller than the sum of its proper divisors (16619430892152).

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

9941137843848 is a wasteful number, since it uses less digits than its factorization.

9941137843848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525951 (or 525947 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 69.

The spelling of 9941137843848 in words is "nine trillion, nine hundred forty-one billion, one hundred thirty-seven million, eight hundred forty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 199 204 233 398 408 466 597 699 796 932 1194 1398 1592 1864 2388 2796 3383 3961 4776 5592 6766 7922 10149 11883 13532 15844 20298 23766 27064 31688 40596 46367 47532 81192 92734 95064 139101 185468 278202 370936 525493 556404 788239 1050986 1112808 1576478 1576479 2101972 2364717 3152956 3152958 4203944 4729434 6305912 6305916 8933381 9458868 12611832 17866762 18917736 26800143 35733524 53600286 71467048 104573107 107200572 122439869 209146214 214401144 244879738 313719321 367319607 418292428 489759476 627438642 734639214 836584856 979518952 1254877284 1469278428 1777742819 2081477773 2509754568 2938556856 3555485638 4162955546 5333228457 6244433319 7110971276 8325911092 10666456914 12488866638 14221942552 16651822184 21332913828 24365533931 24977733276 42665827656 48731067862 49955466552 73096601793 97462135724 146193203586 194924271448 292386407172 414214076827 584772814344 828428153654 1242642230481 1656856307308 2485284460962 3313712614616 4970568921924 9941137843848