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16344517376 = 281123117021
BaseRepresentation
bin11110011100011010…
…11000101100000000
31120012002002111210102
433032031120230000
5231433144024001
611301503421532
71116014051105
oct171615305400
946162074712
1016344517376
116a28065900
1232018b48a8
13170626ca75
14b10a12aac
15659d99e6b
hex3ce358b00

16344517376 has 108 divisors (see below), whose sum is σ = 37019717952. Its totient is φ = 7189248000.

The previous prime is 16344517373. The next prime is 16344517379. The reversal of 16344517376 is 67371544361.

It is an interprime number because it is at equal distance from previous prime (16344517373) and next prime (16344517379).

It is a self number, because there is not a number n which added to its sum of digits gives 16344517376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16344517373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951746 + ... + 968766.

Almost surely, 216344517376 is an apocalyptic number.

16344517376 is a gapful number since it is divisible by the number (16) 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 16344517376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18509858976).

16344517376 is an abundant number, since it is smaller than the sum of its proper divisors (20675200576).

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

16344517376 is a wasteful number, since it uses less digits than its factorization.

16344517376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17090 (or 17065 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The spelling of 16344517376 in words is "sixteen billion, three hundred forty-four million, five hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 128 176 242 248 256 341 352 484 496 682 704 968 992 1364 1408 1936 1984 2728 2816 3751 3872 3968 5456 7502 7744 7936 10912 15004 15488 17021 21824 30008 30976 34042 43648 60016 68084 87296 120032 136168 187231 240064 272336 374462 480128 527651 544672 748924 960256 1055302 1089344 1497848 2059541 2110604 2178688 2995696 4119082 4221208 4357376 5804161 5991392 8238164 8442416 11608322 11982784 16476328 16884832 23216644 23965568 32952656 33769664 46433288 47931136 63845771 65905312 67539328 92866576 127691542 131810624 135078656 185733152 255383084 263621248 371466304 510766168 527242496 742932608 1021532336 1485865216 2043064672 4086129344 8172258688 16344517376