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16141983345 = 35574317881
BaseRepresentation
bin11110000100010001…
…10001111001110001
31112122221222201100000
433002020301321301
5231024321431340
611225430420213
71111004410635
oct170210617161
945587881300
1016141983345
116933802004
123165b01669
1316a3309247
14ad1b70dc5
156471ded30
hex3c2231e71

16141983345 has 48 divisors (see below), whose sum is σ = 29056390272. Its totient is φ = 8596990080.

The previous prime is 16141983343. The next prime is 16141983353. The reversal of 16141983345 is 54338914161.

16141983345 is a `hidden beast` number, since 161 + 419 + 8 + 33 + 45 = 666.

It is not a de Polignac number, because 16141983345 - 21 = 16141983343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 16141983345.

It is not an unprimeable number, because it can be changed into a prime (16141983343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893805 + ... + 911685.

It is an arithmetic number, because the mean of its divisors is an integer number (605341464).

Almost surely, 216141983345 is an apocalyptic number.

16141983345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16141983345 is a deficient number, since it is larger than the sum of its proper divisors (12914406927).

16141983345 is an equidigital number, since it uses as much as digits as its factorization.

16141983345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18644 (or 18632 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 16141983345 in words is "sixteen billion, one hundred forty-one million, nine hundred eighty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 743 1215 2229 3715 6687 11145 17881 20061 33435 53643 60183 89405 100305 160929 180549 268215 300915 482787 804645 902745 1448361 2413935 4345083 7241805 13285583 21725415 39856749 66427915 119570247 199283745 358710741 597851235 1076132223 1793553705 3228396669 5380661115 16141983345