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16941104964 = 22347210332
BaseRepresentation
bin11111100011100010…
…01011111101000100
31121201122200022010000
433301301023331010
5234143410324324
611441014401300
71136550005400
oct176161137504
947648608100
1016941104964
1172038a29a3
123349660230
13179ca42384
14b69d4c100
156924419c9
hex3f1c4bf44

16941104964 has 135 divisors (see below), whose sum is σ = 51567910317. Its totient is φ = 4835630016.

The previous prime is 16941104953. The next prime is 16941104969. The reversal of 16941104964 is 46940114961.

The square root of 16941104964 is 130158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16355852100 + 585252864 = 127890^2 + 24192^2 .

It is not an unprimeable number, because it can be changed into a prime (16941104969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16399392 + ... + 16400424.

Almost surely, 216941104964 is an apocalyptic number.

16941104964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16941104964 is the 130158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16941104964

16941104964 is an abundant number, since it is smaller than the sum of its proper divisors (34626805353).

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

16941104964 is an equidigital number, since it uses as much as digits as its factorization.

16941104964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16941104964 in words is "sixteen billion, nine hundred forty-one million, one hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1033 1134 1323 1764 2066 2268 2646 3099 3969 4132 5292 6198 7231 7938 9297 12396 14462 15876 18594 21693 27891 28924 37188 43386 50617 55782 65079 83673 86772 101234 111564 130158 151851 167346 195237 202468 260316 303702 334692 390474 455553 585711 607404 780948 911106 1067089 1171422 1366659 1822212 2134178 2342844 2733318 3201267 4099977 4268356 5466636 6402534 7469623 8199954 9603801 12805068 14939246 16399908 19207602 22408869 28811403 29878492 38415204 44817738 52287361 57622806 67226607 86434209 89635476 104574722 115245612 134453214 156862083 172868418 201679821 209149444 268906428 313724166 345736836 403359642 470586249 605039463 627448332 806719284 941172498 1210078926 1411758747 1882344996 2420157852 2823517494 4235276241 5647034988 8470552482 16941104964