Search a number
-
+
16024221306 = 2334123331063
BaseRepresentation
bin11101110110001111…
…00011011001111010
31112100202101210012000
432323013203121322
5230304200040211
611210022401430
71105044430242
oct167307433172
945322353160
1016024221306
116883289705
123132590276
131684ab6b72
14ac0278b22
1563bbcc656
hex3bb1e367a

16024221306 has 64 divisors (see below), whose sum is σ = 36635639040. Its totient is φ = 5188596480.

The previous prime is 16024221299. The next prime is 16024221329. The reversal of 16024221306 is 60312242061.

16024221306 is a `hidden beast` number, since 1 + 602 + 4 + 2 + 21 + 30 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 16024221306.

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, 500331 + ... + 531393.

It is an arithmetic number, because the mean of its divisors is an integer number (572431860).

Almost surely, 216024221306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16024221306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317819520).

16024221306 is an abundant number, since it is smaller than the sum of its proper divisors (20611417734).

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

16024221306 is a wasteful number, since it uses less digits than its factorization.

16024221306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31348 (or 31342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 16024221306 its reverse (60312242061), we get a palindrome (76336463367).

The spelling of 16024221306 in words is "sixteen billion, twenty-four million, two hundred twenty-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 233 246 369 466 699 738 1107 1398 2097 2214 4194 6291 9553 12582 19106 28659 31063 57318 62126 85977 93189 171954 186378 257931 279567 515862 559134 838701 1273583 1677402 2547166 3820749 7237679 7641498 11462247 14475358 21713037 22924494 34386741 43426074 65139111 68773482 130278222 195417333 296744839 390834666 593489678 890234517 1780469034 2670703551 5341407102 8012110653 16024221306