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4006644211072 = 27257148382129
BaseRepresentation
bin111010010011011110100…
…110101101110110000000
3112012000211220221121001201
4322103132212231312000
51011121101404223242
612304343230310544
7562320243604636
oct72233646556600
915160756847051
104006644211072
1113052322277a8
12548621058454
13230a9549c589
14dbccb923356
156e34e4454b7
hex3a4de9add80

4006644211072 has 64 divisors (see below), whose sum is σ = 8018545726800. Its totient is φ = 1994157195264.

The previous prime is 4006644211069. The next prime is 4006644211079. The reversal of 4006644211072 is 2701124466004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006644211079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48743704 + ... + 48825832.

Almost surely, 24006644211072 is an apocalyptic number.

It is an amenable number.

4006644211072 is an abundant number, since it is smaller than the sum of its proper divisors (4011901515728).

4006644211072 is a wasteful number, since it uses less digits than its factorization.

4006644211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83883 (or 83871 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

Adding to 4006644211072 its reverse (2701124466004), we get a palindrome (6707768677076).

The spelling of 4006644211072 in words is "four trillion, six billion, six hundred forty-four million, two hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 257 514 1028 1483 2056 2966 4112 5932 8224 11864 16448 23728 32896 47456 82129 94912 164258 189824 328516 381131 657032 762262 1314064 1524524 2628128 3049048 5256256 6098096 10512512 12196192 21107153 24392384 42214306 48784768 84428612 121797307 168857224 243594614 337714448 487189228 675428896 974378456 1350857792 1948756912 2701715584 3897513824 7795027648 15590055296 31301907899 62603815798 125207631596 250415263192 500830526384 1001661052768 2003322105536 4006644211072