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2063915136 = 27324738119
BaseRepresentation
bin111101100000100…
…1101100010000000
312022211121202022100
41323001031202000
513211330241021
6540444510400
7102100663203
oct17301154200
95284552270
102063915136
1196a031a98
1249724b400
1326b79537a
1415817593a
15c12da626
hex7b04d880

2063915136 has 96 divisors (see below), whose sum is σ = 6065654400. Its totient is φ = 673316352.

The previous prime is 2063915131. The next prime is 2063915159. The reversal of 2063915136 is 6315193602.

2063915136 is a `hidden beast` number, since 2 + 0 + 639 + 1 + 5 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2063915136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2063915131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35085 + ... + 73203.

It is an arithmetic number, because the mean of its divisors is an integer number (63183900).

Almost surely, 22063915136 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 2063915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032827200).

2063915136 is an abundant number, since it is smaller than the sum of its proper divisors (4001739264).

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

2063915136 is a wasteful number, since it uses less digits than its factorization.

2063915136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38186 (or 38171 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2063915136 is about 45430.3327744801. The cubic root of 2063915136 is about 1273.2019018301.

The spelling of 2063915136 in words is "two billion, sixty-three million, nine hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 2256 3008 3384 4512 6016 6768 9024 13536 18048 27072 38119 54144 76238 114357 152476 228714 304952 343071 457428 609904 686142 914856 1219808 1372284 1791593 1829712 2439616 2744568 3583186 3659424 4879232 5374779 5489136 7166372 7318848 10749558 10978272 14332744 14637696 16124337 21499116 21956544 28665488 32248674 42998232 43913088 57330976 64497348 85996464 114661952 128994696 171992928 229323904 257989392 343985856 515978784 687971712 1031957568 2063915136