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3387195685824 = 2631031013316903
BaseRepresentation
bin110001010010100100100…
…110000111101111000000
3102222210221111021002110120
4301102210212013233000
5420443434043421244
611112020050500240
7466500603166056
oct61224446075700
912883844232416
103387195685824
11109655772a345
12468564b94680
131b75464a2c82
14b9d2670c1d6
155d196e91819
hex314a4987bc0

3387195685824 has 112 divisors (see below), whose sum is σ = 9050392945152. Its totient is φ = 1117926945792.

The previous prime is 3387195685817. The next prime is 3387195685871. The reversal of 3387195685824 is 4285865917833.

It is a super-2 number, since 2×33871956858242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200381757 + ... + 200398659.

Almost surely, 23387195685824 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 3387195685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525196472576).

3387195685824 is an abundant number, since it is smaller than the sum of its proper divisors (5663197259328).

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

3387195685824 is a wasteful number, since it uses less digits than its factorization.

3387195685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27154 (or 27144 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 69.

The spelling of 3387195685824 in words is "three trillion, three hundred eighty-seven billion, one hundred ninety-five million, six hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 10133 16903 19776 20266 30399 33806 40532 50709 60798 67612 81064 101418 121596 135224 162128 202836 243192 270448 324256 405672 486384 540896 648512 811344 972768 1043699 1081792 1622688 1741009 1945536 2087398 3131097 3245376 3482018 4174796 5223027 6262194 6964036 8349592 10446054 12524388 13928072 16699184 20892108 25048776 27856144 33398368 41784216 50097552 55712288 66796736 83568432 100195104 111424576 167136864 171278099 200390208 334273728 342556198 513834297 685112396 1027668594 1370224792 2055337188 2740449584 4110674376 5480899168 8221348752 10961798336 16442697504 17641644197 32885395008 35283288394 52924932591 70566576788 105849865182 141133153576 211699730364 282266307152 423399460728 564532614304 846798921456 1129065228608 1693597842912 3387195685824