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1682228656640 = 295793874367
BaseRepresentation
bin11000011110101100101…
…001000011101000000000
312221211010102000001010202
4120132230221003220000
5210030201014003030
63324445530144332
7232352123436620
oct30365451035000
95854112001122
101682228656640
1159947a248264
1223203ab820a8
13c28309b3b9c
145b5c5442880
152db5a580745
hex187aca43a00

1682228656640 has 80 divisors (see below), whose sum is σ = 4609606966272. Its totient is φ = 576764104704.

The previous prime is 1682228656627. The next prime is 1682228656711. The reversal of 1682228656640 is 466568222861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46919264 + ... + 46955103.

Almost surely, 21682228656640 is an apocalyptic number.

1682228656640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682228656640 is an abundant number, since it is smaller than the sum of its proper divisors (2927378309632).

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

1682228656640 is an frugal number, since it uses more digits than its factorization.

1682228656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93874397 (or 93874381 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 1682228656640 in words is "one trillion, six hundred eighty-two billion, two hundred twenty-eight million, six hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 93874367 187748734 375497468 469371835 657120569 750994936 938743670 1314241138 1501989872 1877487340 2628482276 3003979744 3285602845 3754974680 5256964552 6007959488 6571205690 7509949360 10513929104 12015918976 13142411380 15019898720 21027858208 24031837952 26284822760 30039797440 42055716416 48063675904 52569645520 60079594880 84111432832 105139291040 120159189760 168222865664 210278582080 240318379520 336445731328 420557164160 841114328320 1682228656640