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16416005430 = 2351160781953
BaseRepresentation
bin11110100100111100…
…00101110100110110
31120101001121110222010
433102132011310312
5232104444133210
611312535545050
71120542513066
oct172236056466
946331543863
1016416005430
116a64452940
12322182b186
13171800c9a6
14b1a3013a6
156612bb920
hex3d2785d36

16416005430 has 64 divisors (see below), whose sum is σ = 43051419648. Its totient is φ = 3973032960.

The previous prime is 16416005413. The next prime is 16416005449. The reversal of 16416005430 is 3450061461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159334 + ... + 241286.

It is an arithmetic number, because the mean of its divisors is an integer number (672678432).

Almost surely, 216416005430 is an apocalyptic number.

16416005430 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 16416005430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525709824).

16416005430 is an abundant number, since it is smaller than the sum of its proper divisors (26635414218).

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

16416005430 is a wasteful number, since it uses less digits than its factorization.

16416005430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82581.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 16416005430 its reverse (3450061461), we get a palindrome (19866066891).

The spelling of 16416005430 in words is "sixteen billion, four hundred sixteen million, five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 607 1214 1821 3035 3642 6070 6677 9105 13354 18210 20031 33385 40062 66770 81953 100155 163906 200310 245859 409765 491718 819530 901483 1229295 1802966 2458590 2704449 4507415 5408898 9014830 13522245 27044490 49745471 99490942 149236413 248727355 298472826 497454710 547200181 746182065 1094400362 1492364130 1641600543 2736000905 3283201086 5472001810 8208002715 16416005430