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3641039136 = 2532713713183
BaseRepresentation
bin1101100100000101…
…1101100100100000
3100101202020221201100
43121001131210200
524424101223021
61401144034400
7156141215310
oct33101354440
910352227640
103641039136
1115a92a9659
12857462a00
1346044b937
142677d3440
151649bb626
hexd905d920

3641039136 has 144 divisors (see below), whose sum is σ = 11920656384. Its totient is φ = 1032625152.

The previous prime is 3641039123. The next prime is 3641039167. The reversal of 3641039136 is 6319301463.

3641039136 is a `hidden beast` number, since 3 + 641 + 0 + 3 + 9 + 1 + 3 + 6 = 666.

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

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 3641039136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269601 + ... + 282783.

It is an arithmetic number, because the mean of its divisors is an integer number (82782336).

Almost surely, 23641039136 is an apocalyptic number.

3641039136 is a gapful number since it is divisible by the number (36) 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 3641039136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960328192).

3641039136 is an abundant number, since it is smaller than the sum of its proper divisors (8279617248).

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

3641039136 is a wasteful number, since it uses less digits than its factorization.

3641039136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13343 (or 13332 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3641039136 is about 60341.0236572102. The cubic root of 3641039136 is about 1538.4207028771.

The spelling of 3641039136 in words is "three billion, six hundred forty-one million, thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 137 144 168 224 252 274 288 336 411 504 548 672 822 959 1008 1096 1233 1644 1918 2016 2192 2466 2877 3288 3836 4384 4932 5754 6576 7672 8631 9864 11508 13152 13183 15344 17262 19728 23016 26366 30688 34524 39456 39549 46032 52732 69048 79098 92064 92281 105464 118647 138096 158196 184562 210928 237294 276192 276843 316392 369124 421856 474588 553686 632784 738248 830529 949176 1107372 1265568 1476496 1661058 1806071 1898352 2214744 2952992 3322116 3612142 3796704 4429488 5418213 6644232 7224284 8858976 10836426 12642497 13288464 14448568 16254639 21672852 25284994 26576928 28897136 32509278 37927491 43345704 50569988 57794272 65018556 75854982 86691408 101139976 113782473 130037112 151709964 173382816 202279952 227564946 260074224 303419928 404559904 455129892 520148448 606839856 910259784 1213679712 1820519568 3641039136