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16938899712 = 28337350093
BaseRepresentation
bin11111100011010001…
…10001100100000000
31121201111112021002000
433301220301210000
5234142324242322
611440455224000
71136522162160
oct176150614400
947644467060
1016938899712
117202627079
123348978000
13179c44c6a7
14b699365a0
156921583ac
hex3f1a31900

16938899712 has 144 divisors (see below), whose sum is σ = 57247370880. Its totient is φ = 4839671808.

The previous prime is 16938899651. The next prime is 16938899713. The reversal of 16938899712 is 21799883961.

16938899712 is a `hidden beast` number, since 169 + 388 + 9 + 97 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16938899712.

It is not an unprimeable number, because it can be changed into a prime (16938899713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126663 + ... + 223430.

Almost surely, 216938899712 is an apocalyptic number.

16938899712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16938899712 is an abundant number, since it is smaller than the sum of its proper divisors (40308471168).

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

16938899712 is an equidigital number, since it uses as much as digits as its factorization.

16938899712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350125 (or 350105 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 16938899712 in words is "sixteen billion, nine hundred thirty-eight million, eight hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 350093 700186 1050279 1400372 2100558 2450651 2800744 3150837 4201116 4901302 5601488 6301674 7351953 8402232 9452511 9802604 11202976 12603348 14703906 16804464 18905022 19605208 22055859 22405952 25206696 29407812 33608928 37810044 39210416 44111718 44811904 50413392 58815624 66167577 67217856 75620088 78420832 88223436 89623808 100826784 117631248 132335154 134435712 151240176 156841664 176446872 201653568 235262496 264670308 268871424 302480352 313683328 352893744 403307136 470524992 529340616 604960704 627366656 705787488 806614272 941049984 1058681232 1209921408 1411574976 1882099968 2117362464 2419842816 2823149952 4234724928 5646299904 8469449856 16938899712