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84887153316 = 2232749912
BaseRepresentation
bin100111100001110101…
…0110010101010100100
322010002221011012000100
41033003222302222210
52342322102401231
6102555134144100
76063403620000
oct1170352625244
9263087135010
1084887153316
1133000648769
1214550652030
13800a7a2704
144173c63700
15231c5841e6
hex13c3ab2aa4

84887153316 has 135 divisors (see below), whose sum is σ = 250576460043. Its totient is φ = 24228998640.

The previous prime is 84887153287. The next prime is 84887153327. The reversal of 84887153316 is 61335178848.

It is a happy number.

The square root of 84887153316 is 291354.

It is a perfect power (a square), and thus also a powerful number.

84887153316 is a `hidden beast` number, since 8 + 488 + 7 + 153 + 3 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85657581 + ... + 85658571.

Almost surely, 284887153316 is an apocalyptic number.

84887153316 is the 291354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84887153316

84887153316 is an abundant number, since it is smaller than the sum of its proper divisors (165689306727).

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

84887153316 is an frugal number, since it uses more digits than its factorization.

84887153316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1003 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 84887153316 in words is "eighty-four billion, eight hundred eighty-seven million, one hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 991 1029 1372 1764 1982 2058 2401 2973 3087 3964 4116 4802 5946 6174 6937 7203 8919 9604 11892 12348 13874 14406 17838 20811 21609 27748 28812 35676 41622 43218 48559 62433 83244 86436 97118 124866 145677 194236 249732 291354 339913 437031 582708 679826 874062 982081 1019739 1359652 1748124 1964162 2039478 2379391 2946243 3059217 3928324 4078956 4758782 5892486 6118434 6874567 7138173 8838729 9517564 11784972 12236868 13749134 14276346 17677458 20623701 21414519 27498268 28552692 35354916 41247402 42829038 48121969 61871103 82494804 85658076 96243938 123742206 144365907 192487876 247484412 288731814 336853783 433097721 577463628 673707566 866195442 1010561349 1347415132 1732390884 2021122698 2357976481 3031684047 4042245396 4715952962 6063368094 7073929443 9431905924 12126736188 14147858886 21221788329 28295717772 42443576658 84887153316