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41999197792512 = 2831491879195329
BaseRepresentation
bin10011000110010101100110…
…10000111110100100000000
312111201002021022021111111010
421203022303100332210000
521001103324113330022
6225154055355120520
711563225162642332
oct1143126320764400
9174632238244433
1041999197792512
111242283a267564
124863886443140
131a5867988523c
14a52ab45c7452
154cc76758850c
hex2632b343e900

41999197792512 has 144 divisors (see below), whose sum is σ = 112589774640000. Its totient is φ = 13898302881792.

The previous prime is 41999197792511. The next prime is 41999197792553. The reversal of 41999197792512 is 21529779199914.

It is not an unprimeable number, because it can be changed into a prime (41999197792511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214920064 + ... + 215115392.

It is an arithmetic number, because the mean of its divisors is an integer number (781873435000).

Almost surely, 241999197792512 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 41999197792512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56294887320000).

41999197792512 is an abundant number, since it is smaller than the sum of its proper divisors (70590576847488).

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

41999197792512 is a wasteful number, since it uses less digits than its factorization.

41999197792512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197376 (or 197362 counting only the distinct ones).

The product of its digits is 231472080, while the sum is 75.

The spelling of 41999197792512 in words is "forty-one trillion, nine hundred ninety-nine billion, one hundred ninety-seven million, seven hundred ninety-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 596 768 894 1192 1788 1879 2384 3576 3758 4768 5637 7152 7516 9536 11274 14304 15032 19072 22548 28608 30064 38144 45096 57216 60128 90192 114432 120256 180384 195329 240512 279971 360768 390658 481024 559942 585987 721536 781316 839913 1119884 1171974 1443072 1562632 1679826 2239768 2343948 3125264 3359652 4479536 4687896 6250528 6719304 8959072 9375792 12501056 13438608 17918144 18751584 25002112 26877216 29104021 35836288 37503168 50004224 53754432 58208042 71672576 75006336 87312063 107508864 116416084 150012672 174624126 215017728 232832168 349248252 367023191 465664336 698496504 734046382 931328672 1101069573 1396993008 1468092764 1862657344 2202139146 2793986016 2936185528 3725314688 4404278292 5587972032 5872371056 7450629376 8808556584 11175944064 11744742112 17617113168 22351888128 23489484224 35234226336 46978968448 54686455459 70468452672 93957936896 109372910918 140936905344 164059366377 218745821836 281873810688 328118732754 437491643672 656237465508 874983287344 1312474931016 1749966574688 2624949862032 3499933149376 5249899724064 6999866298752 10499799448128 13999732597504 20999598896256 41999197792512