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163612050433056 = 25321780114171451
BaseRepresentation
bin100101001100110111100110…
…001001011010010000100000
3210110022011022002211210200200
4211030313212021122100200
5132421104434402324211
61335550201025345200
746314403063320021
oct4514674611322040
9713264262753620
10163612050433056
114814a532126235
1216425140798200
13703a71c8c3894
142c58c18cb0c48
1513dadd1817b56
hex94cde625a420

163612050433056 has 144 divisors (see below), whose sum is σ = 492702309616608. Its totient is φ = 51322851072000.

The previous prime is 163612050433043. The next prime is 163612050433057. The reversal of 163612050433056 is 650334050216361.

163612050433056 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 1 + 205 + 0 + 433 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (163612050433057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37136131 + ... + 41307581.

It is an arithmetic number, because the mean of its divisors is an integer number (3421543816782).

Almost surely, 2163612050433056 is an apocalyptic number.

163612050433056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163612050433056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246351154808304).

163612050433056 is an abundant number, since it is smaller than the sum of its proper divisors (329090259183552).

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

163612050433056 is a wasteful number, since it uses less digits than its factorization.

163612050433056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179495 (or 4179484 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 163612050433056 in words is "one hundred sixty-three trillion, six hundred twelve billion, fifty million, four hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 8011 16022 24033 32044 48066 64088 72099 96132 128176 136187 144198 192264 256352 272374 288396 384528 408561 544748 576792 769056 817122 1089496 1153584 1225683 1634244 2178992 2307168 2451366 3268488 4171451 4357984 4902732 6536976 8342902 9805464 12514353 13073952 16685804 19610928 25028706 33371608 37543059 39221856 50057412 66743216 70914667 75086118 100114824 133486432 141829334 150172236 200229648 212744001 283658668 300344472 400459296 425488002 567317336 600688944 638232003 850976004 1134634672 1201377888 1276464006 1701952008 2269269344 2552928012 3403904016 5105856024 6807808032 10211712048 20423424096 33417493961 66834987922 100252481883 133669975844 200504963766 267339951688 300757445649 401009927532 534679903376 568097397337 601514891298 802019855064 1069359806752 1136194794674 1203029782596 1604039710128 1704292192011 2272389589348 2406059565192 3208079420256 3408584384022 4544779178696 4812119130384 5112876576033 6817168768044 9089558357392 9624238260768 10225753152066 13634337536088 18179116714784 20451506304132 27268675072176 40903012608264 54537350144352 81806025216528 163612050433056