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16004635742370 = 23511533779242147
BaseRepresentation
bin1110100011100101111010…
…1000001101000010100010
32002200000202120201220202110
43220321132220031002202
54044204443222223440
654012232252100150
73241203536124402
oct350713650150242
962600676656673
1016004635742370
115110589700310
121965980164656
138c12cca3b232
143d48b2880802
151cb4b5d7e080
hexe8e5ea0d0a2

16004635742370 has 128 divisors (see below), whose sum is σ = 42705143792640. Its totient is φ = 3805682766080.

The previous prime is 16004635742369. The next prime is 16004635742377. The reversal of 16004635742370 is 7324753640061.

It is a super-2 number, since 2×160046357423702 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16004635742377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65973637 + ... + 66215783.

It is an arithmetic number, because the mean of its divisors is an integer number (333633935880).

Almost surely, 216004635742370 is an apocalyptic number.

16004635742370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16004635742370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21352571896320).

16004635742370 is an abundant number, since it is smaller than the sum of its proper divisors (26700508050270).

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

16004635742370 is a wasteful number, since it uses less digits than its factorization.

16004635742370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246000.

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 16004635742370 in words is "sixteen trillion, four billion, six hundred thirty-five million, seven hundred forty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 3779 5830 7558 8745 11337 17490 18895 22674 37790 41569 56685 83138 113370 124707 200287 207845 242147 249414 400574 415690 484294 600861 623535 726441 1001435 1201722 1210735 1247070 1452882 2002870 2203157 2421470 2663617 3004305 3632205 4406314 5327234 6008610 6609471 7264410 7990851 11015785 12833791 13218942 13318085 15981702 22031570 25667582 26636170 33047355 38501373 39954255 64168955 66094710 77002746 79908510 128337910 141171701 192506865 282343402 385013730 423515103 705858505 847030206 915073513 1411717010 1830147026 2117575515 2745220539 4235151030 4575367565 5490441078 9150735130 10065808643 13726102695 20131617286 27452205390 30197425929 48498896189 50329043215 60394851858 96997792378 100658086430 145496688567 150987129645 242494480945 290993377134 301974259290 484988961890 533487858079 727483442835 1066975716158 1454966885670 1600463574237 2667439290395 3200927148474 5334878580790 8002317871185 16004635742370