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13006002167756 = 221343330710247
BaseRepresentation
bin1011110101000011001000…
…1000111001111111001100
31201001100202122122020112222
42331100302020321333030
53201042243023332011
643354512551514512
72511436600235633
oct275206210717714
951040678566488
1013006002167756
1141648a6181214
121560797988a38
137345cb332a80
1432d6cb23a51a
151784b159bddb
hexbd432239fcc

13006002167756 has 96 divisors (see below), whose sum is σ = 25179106444800. Its totient is φ = 5843502326592.

The previous prime is 13006002167729. The next prime is 13006002167779. The reversal of 13006002167756 is 65776120060031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269244625 + ... + 1269254871.

It is an arithmetic number, because the mean of its divisors is an integer number (262282358800).

Almost surely, 213006002167756 is an apocalyptic number.

It is an amenable number.

13006002167756 is a deficient number, since it is larger than the sum of its proper divisors (12173104277044).

13006002167756 is a wasteful number, since it uses less digits than its factorization.

13006002167756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 13006002167756 in words is "thirteen trillion, six billion, two million, one hundred sixty-seven thousand, seven hundred fifty-six".

Divisors: 1 2 4 13 26 43 52 86 172 307 559 614 1118 1228 1849 2236 3698 3991 7396 7982 10247 13201 15964 20494 24037 26402 40988 48074 52804 79507 96148 133211 159014 171613 266422 318028 343226 440621 532844 567643 686452 881242 1033591 1135286 1762484 2067182 2270572 3145829 4134364 5728073 6291658 7379359 11456146 12583316 14758718 18946703 22912292 24408649 29517436 37893406 40895777 48817298 75786812 81791554 97634596 135270647 163583108 246307139 270541294 317312437 492614278 541082588 634624874 814708229 985228556 1269249748 1629416458 1758518411 3258832916 3517036822 5816637821 7034073644 10591206977 11633275642 21182413954 23266551284 42364827908 75616291673 151232583346 250115426303 302465166692 500230852606 1000461705212 3251500541939 6503001083878 13006002167756