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6370399056 = 243732316823
BaseRepresentation
bin1011110111011010…
…01001001101010000
3121102222000210122210
411323231021031100
5101021310232211
62532043432120
7313602333000
oct57355111520
917388023583
106370399056
112779a1910a
121299525640
137a6a44bc8
144460aa000
152744009a6
hex17bb49350

6370399056 has 160 divisors (see below), whose sum is σ = 20027289600. Its totient is φ = 1740875136.

The previous prime is 6370399043. The next prime is 6370399109. The reversal of 6370399056 is 6509930736.

It is a happy number.

It is a super-2 number, since 2×63703990562 = 81163968265371382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6370398996 and 6370399014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370261 + ... + 387083.

It is an arithmetic number, because the mean of its divisors is an integer number (125170560).

Almost surely, 26370399056 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 6370399056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013644800).

6370399056 is an abundant number, since it is smaller than the sum of its proper divisors (13656890544).

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

6370399056 is a wasteful number, since it uses less digits than its factorization.

6370399056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16858 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 48.

The square root of 6370399056 is about 79814.7796839658. The cubic root of 6370399056 is about 1853.7687046578.

The spelling of 6370399056 in words is "six billion, three hundred seventy million, three hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 343 368 392 483 552 588 644 686 784 966 1029 1104 1127 1176 1288 1372 1932 2058 2254 2352 2576 2744 3381 3864 4116 4508 5488 6762 7728 7889 8232 9016 13524 15778 16464 16823 18032 23667 27048 31556 33646 47334 50469 54096 63112 67292 94668 100938 117761 126224 134584 189336 201876 235522 269168 353283 378672 386929 403752 471044 706566 773858 807504 824327 942088 1160787 1413132 1547716 1648654 1884176 2321574 2472981 2708503 2826264 3095432 3297308 4643148 4945962 5417006 5652528 5770289 6190864 6594616 8125509 9286296 9891924 10834012 11540578 13189232 16251018 17310867 18572592 18959521 19783848 21668024 23081156 32502036 34621734 37919042 39567696 43336048 46162312 56878563 65004072 69243468 75838084 92324624 113757126 130008144 132716647 138486936 151676168 227514252 265433294 276973872 303352336 398149941 455028504 530866588 796299882 910057008 1061733176 1592599764 2123466352 3185199528 6370399056