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13770334416 = 2432331402359
BaseRepresentation
bin11001101001100011…
…01010000011010000
31022112200022110121210
430310301222003100
5211200201200131
610154230020120
7665145624366
oct146461520320
938480273553
1013770334416
115926aa4073
1228037a7640
1313b5b68b97
14948bb1636
15558db9146
hex334c6a0d0

13770334416 has 80 divisors (see below), whose sum is σ = 38317547520. Its totient is φ = 4248900480.

The previous prime is 13770334381. The next prime is 13770334423. The reversal of 13770334416 is 61443307731.

It is a super-2 number, since 2×137703344162 (a number of 21 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, 166956 + ... + 235403.

It is an arithmetic number, because the mean of its divisors is an integer number (478969344).

Almost surely, 213770334416 is an apocalyptic number.

13770334416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13770334416 is an abundant number, since it is smaller than the sum of its proper divisors (24547213104).

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

13770334416 is a wasteful number, since it uses less digits than its factorization.

13770334416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402424 (or 402418 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 13770334416 in words is "thirteen billion, seven hundred seventy million, three hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 368 372 496 552 713 744 1104 1426 1488 2139 2852 4278 5704 8556 11408 17112 34224 402359 804718 1207077 1609436 2414154 3218872 4828308 6437744 9254257 9656616 12473129 18508514 19313232 24946258 27762771 37017028 37419387 49892516 55525542 74034056 74838774 99785032 111051084 148068112 149677548 199570064 222102168 286881967 299355096 444204336 573763934 598710192 860645901 1147527868 1721291802 2295055736 3442583604 4590111472 6885167208 13770334416