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16198710440 = 23511217196873
BaseRepresentation
bin11110001011000010…
…01011010010101000
31112210220201202021112
433011201023102220
5231133332213230
611235214325452
71112263524023
oct170541132250
945726652245
1016198710440
116962827a00
123180ab9888
1316b1cab583
14ad94da1ba
1564c197d95
hex3c584b4a8

16198710440 has 96 divisors (see below), whose sum is σ = 42418472040. Its totient is φ = 5543915520.

The previous prime is 16198710401. The next prime is 16198710443. The reversal of 16198710440 is 4401789161.

It can be written as a sum of positive squares in 4 ways, for example, as 15620500324 + 578210116 = 124982^2 + 24046^2 .

It is not an unprimeable number, because it can be changed into a prime (16198710443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16157 + ... + 180716.

Almost surely, 216198710440 is an apocalyptic number.

16198710440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16198710440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21209236020).

16198710440 is an abundant number, since it is smaller than the sum of its proper divisors (26219761600).

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

16198710440 is a wasteful number, since it uses less digits than its factorization.

16198710440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196923 (or 196908 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The spelling of 16198710440 in words is "sixteen billion, one hundred ninety-eight million, seven hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1210 1496 1870 2057 2420 3740 4114 4840 7480 8228 10285 16456 20570 41140 82280 196873 393746 787492 984365 1574984 1968730 2165603 3346841 3937460 4331206 6693682 7874920 8662412 10828015 13387364 16734205 17324824 21656030 23821633 26774728 33468410 36815251 43312060 47643266 66936820 73630502 86624120 95286532 119108165 133873640 147261004 184076255 190573064 238216330 294522008 368152510 404967761 476432660 736305020 809935522 952865320 1472610040 1619871044 2024838805 3239742088 4049677610 8099355220 16198710440