Search a number
-
+
16343047644 = 22371127763853
BaseRepresentation
bin11110011100001111…
…10001110111011100
31120011222022211200220
433032013301313130
5231432310011034
611301412121340
71115665420140
oct171607616734
946158284626
1016343047644
116a27251650
123201306250
131705b76ac1
14b1074d220
15659ba9749
hex3ce1f1ddc

16343047644 has 96 divisors (see below), whose sum is σ = 47715795456. Its totient is φ = 4229556480.

The previous prime is 16343047583. The next prime is 16343047663. The reversal of 16343047644 is 44674034361.

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

It is a junction number, because it is equal to n+sod(n) for n = 16343047596 and 16343047605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224022 + ... + 287874.

It is an arithmetic number, because the mean of its divisors is an integer number (497039536).

Almost surely, 216343047644 is an apocalyptic number.

16343047644 is a gapful number since it is divisible by the number (14) 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 16343047644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23857897728).

16343047644 is an abundant number, since it is smaller than the sum of its proper divisors (31372747812).

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

16343047644 is a wasteful number, since it uses less digits than its factorization.

16343047644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64155 (or 64153 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 16343047644 in words is "sixteen billion, three hundred forty-three million, forty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 277 308 462 554 831 924 1108 1662 1939 3047 3324 3878 5817 6094 7756 9141 11634 12188 18282 21329 23268 36564 42658 63853 63987 85316 127706 127974 191559 255412 255948 383118 446971 702383 766236 893942 1340913 1404766 1787884 2107149 2681826 2809532 4214298 4916681 5363652 8428596 9833362 14750043 17687281 19666724 29500086 35374562 53061843 59000172 70749124 106123686 123810967 194560091 212247372 247621934 371432901 389120182 495243868 583680273 742865802 778240364 1167360546 1361920637 1485731604 2334721092 2723841274 4085761911 5447682548 8171523822 16343047644