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380614806208 = 26713201732401
BaseRepresentation
bin1011000100111100110…
…10010000101011000000
31100101102200220111022101
411202132122100223000
522213444342244313
6450504012120144
736332663321020
oct5423632205300
91311380814271
10380614806208
1113746615438a
1261923166054
1329b79444680
14145c97d9a80
159d79b225dd
hex589e690ac0

380614806208 has 112 divisors (see below), whose sum is σ = 930068044864. Its totient is φ = 150493593600.

The previous prime is 380614806191. The next prime is 380614806241. The reversal of 380614806208 is 802608416083.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×3806148062083 (a number of 36 digits) contains 333 as substring.

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, 11730808 + ... + 11763208.

It is an arithmetic number, because the mean of its divisors is an integer number (8304178972).

Almost surely, 2380614806208 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 380614806208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465034022432).

380614806208 is an abundant number, since it is smaller than the sum of its proper divisors (549453238656).

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

380614806208 is a wasteful number, since it uses less digits than its factorization.

380614806208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34450 (or 34440 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 380614806208 in words is "three hundred eighty billion, six hundred fourteen million, eight hundred six thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2017 2912 4034 5824 8068 14119 16136 26221 28238 32272 32401 52442 56476 64544 64802 104884 112952 129088 129604 183547 209768 225904 226807 259208 367094 419536 421213 451808 453614 518416 734188 839072 842426 903616 907228 1036832 1468376 1678144 1684852 1814456 2073664 2936752 2948491 3369704 3628912 5873504 5896982 6739408 7257824 11747008 11793964 13478816 14515648 23587928 26957632 47175856 65352817 94351712 130705634 188703424 261411268 457469719 522822536 849586621 914939438 1045645072 1699173242 1829878876 2091290144 3398346484 3659757752 4182580288 5947106347 6796692968 7319515504 11894212694 13593385936 14639031008 23788425388 27186771872 29278062016 47576850776 54373543744 95153701552 190307403104 380614806208