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10542211553196 = 2234237971775009
BaseRepresentation
bin1001100101101000110011…
…0001100101011110101100
31101022211021211221001020000
42121122030301211132230
52340210422124200241
634231005232224300
72135435554452501
oct231321461453654
941284254831200
1010542211553196
1133a4a21650174
12122319939b090
135b61845a39bb
142863625274a8
151343617aceb6
hex9968cc657ac

10542211553196 has 120 divisors (see below), whose sum is σ = 28793757817440. Its totient is φ = 3357065530368.

The previous prime is 10542211553143. The next prime is 10542211553221. The reversal of 10542211553196 is 69135511224501.

10542211553196 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 2 + 1 + 1 + 553 + 1 + 96 = 666.

10542211553196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105422115531962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5051740 + ... + 6826748.

It is an arithmetic number, because the mean of its divisors is an integer number (239947981812).

Almost surely, 210542211553196 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 10542211553196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396878908720).

10542211553196 is an abundant number, since it is smaller than the sum of its proper divisors (18251546264244).

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

10542211553196 is a wasteful number, since it uses less digits than its factorization.

10542211553196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775845 (or 1775834 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

Adding to 10542211553196 its reverse (69135511224501), we get a palindrome (79677722777697).

The spelling of 10542211553196 in words is "ten trillion, five hundred forty-two billion, two hundred eleven million, five hundred fifty-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 797 828 1242 1594 1863 2391 2484 3188 3726 4782 7173 7452 9564 14346 18331 21519 28692 36662 43038 54993 64557 73324 86076 109986 129114 164979 219972 258228 329958 494937 659916 989874 1484811 1775009 1979748 2969622 3550018 5325027 5939244 7100036 10650054 15975081 21300108 31950162 40825207 47925243 63900324 81650414 95850486 122475621 143775729 163300828 191700972 244951242 287551458 367426863 489902484 575102916 734853726 1102280589 1414682173 1469707452 2204561178 2829364346 3306841767 4244046519 4409122356 5658728692 6613683534 8488093038 12732139557 13227367068 16976186076 25464279114 32537689979 38196418671 50928558228 65075379958 76392837342 97613069937 114589256013 130150759916 152785674684 195226139874 229178512026 292839209811 390452279748 458357024052 585678419622 878517629433 1171356839244 1757035258866 2635552888299 3514070517732 5271105776598 10542211553196