Search a number
-
+
16663243632 = 2437293746219
BaseRepresentation
bin11111000010011010…
…01110101101110000
31121000021211111000120
433201031032231300
5233111242244012
611353251050240
71126634143140
oct174115165560
947007744016
1016663243632
117080a6a632
1232905a0980
1317572c6299
14b4109c920
15677d5758c
hex3e134eb70

16663243632 has 160 divisors (see below), whose sum is σ = 52269273600. Its totient is φ = 4472423424.

The previous prime is 16663243631. The next prime is 16663243633. The reversal of 16663243632 is 23634236661.

It is an interprime number because it is at equal distance from previous prime (16663243631) and next prime (16663243633).

It is a super-3 number, since 3×166632436323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16663243631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337419 + ... + 383637.

It is an arithmetic number, because the mean of its divisors is an integer number (326682960).

Almost surely, 216663243632 is an apocalyptic number.

16663243632 is a gapful number since it is divisible by the number (12) 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 16663243632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26134636800).

16663243632 is an abundant number, since it is smaller than the sum of its proper divisors (35606029968).

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

16663243632 is a wasteful number, since it uses less digits than its factorization.

16663243632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46303 (or 46297 counting only the distinct ones).

The product of its digits is 559872, while the sum is 42.

The spelling of 16663243632 in words is "sixteen billion, six hundred sixty-three million, two hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 37 42 48 56 58 74 84 87 111 112 116 148 168 174 203 222 232 259 296 336 348 406 444 464 518 592 609 696 777 812 888 1036 1073 1218 1392 1554 1624 1776 2072 2146 2436 3108 3219 3248 4144 4292 4872 6216 6438 7511 8584 9744 12432 12876 15022 17168 22533 25752 30044 45066 46219 51504 60088 90132 92438 120176 138657 180264 184876 277314 323533 360528 369752 554628 647066 739504 970599 1109256 1294132 1340351 1710103 1941198 2218512 2588264 2680702 3420206 3882396 4021053 5130309 5176528 5361404 6840412 7764792 8042106 9382457 10260618 10722808 11970721 13680824 15529584 16084212 18764914 20521236 21445616 23941442 27361648 28147371 32168424 35912163 37529828 41042472 47882884 49592987 56294742 64336848 71824326 75059656 82084944 95765768 99185974 112589484 143648652 148778961 150119312 191531536 198371948 225178968 287297304 297557922 347150909 396743896 450357936 574594608 595115844 694301818 793487792 1041452727 1190231688 1388603636 2082905454 2380463376 2777207272 4165810908 5554414544 8331621816 16663243632