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61949482000182 = 23375931264121863
BaseRepresentation
bin11100001010111101111001…
…10111100101111100110110
322010100022102220201002011000
432011132330313211330312
531104440014343001212
6335431111003224130
716022462625505260
oct1605367467457466
9263308386632130
1061949482000182
111881469a629a17
126b46284218046
132874a70c57b7a
141142529b76b30
157266ac9b91dc
hex3857bcde5f36

61949482000182 has 128 divisors (see below), whose sum is σ = 157617009285120. Its totient is φ = 17667798036480.

The previous prime is 61949482000171. The next prime is 61949482000187. The reversal of 61949482000182 is 28100028494916.

It is a happy number.

61949482000182 is a `hidden beast` number, since 61 + 9 + 494 + 82 + 0 + 0 + 0 + 18 + 2 = 666.

It is a super-2 number, since 2×619494820001822 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61949482000187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2833519783 + ... + 2833541645.

It is an arithmetic number, because the mean of its divisors is an integer number (1231382885040).

Almost surely, 261949482000182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61949482000182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78808504642560).

61949482000182 is an abundant number, since it is smaller than the sum of its proper divisors (95667527284938).

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

61949482000182 is a wasteful number, since it uses less digits than its factorization.

61949482000182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35115 (or 35109 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 61949482000182 in words is "sixty-one trillion, nine hundred forty-nine billion, four hundred eighty-two million, one hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 593 1186 1779 3558 4151 5337 8302 10674 12453 12641 16011 21863 24906 25282 32022 37359 37923 43726 65589 74718 75846 88487 112077 113769 131178 153041 176974 196767 224154 227538 265461 306082 341307 393534 459123 530922 590301 682614 796383 918246 1180602 1377369 1592766 2389149 2754738 4132107 4778298 7496113 8264214 12964759 14992226 22488339 25929518 38894277 44976678 52472791 67465017 77788554 90753313 104945582 116682831 134930034 157418373 181506626 202395051 233365662 272259939 276370183 314836746 350048493 404790102 472255119 544519878 552740366 700096986 816779817 829110549 944510238 1416765357 1633559634 1658221098 1934591281 2450339451 2487331647 2833530714 3869182562 4900678902 4974663294 5803773843 7461994941 11607547686 14923989882 17411321529 34822643058 52233964587 104467929174 163887518519 327775037038 491662555557 983325111114 1147212629633 1474987666671 2294425259266 2949975333342 3441637888899 4424963000013 6883275777798 8849926000026 10324913666697 20649827333394 30974741000091 61949482000182