Search a number
-
+
16347921696 = 253283683899
BaseRepresentation
bin11110011100110100…
…10111110100100000
31120012022111110122100
433032122113310200
5231440031443241
611302104410400
71116055020201
oct171632276440
946168443570
1016347921696
116a29a80597
123202a76a00
131706b92462
14b1125b5a8
1565a31d9b6
hex3ce697d20

16347921696 has 72 divisors (see below), whose sum is σ = 47049584400. Its totient is φ = 5383645056.

The previous prime is 16347921679. The next prime is 16347921713. The reversal of 16347921696 is 69612974361.

16347921696 is a `hidden beast` number, since 1 + 6 + 3 + 479 + 2 + 169 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (16347921679) and next prime (16347921713).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318046 + ... + 365853.

It is an arithmetic number, because the mean of its divisors is an integer number (653466450).

Almost surely, 216347921696 is an apocalyptic number.

16347921696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16347921696 is an abundant number, since it is smaller than the sum of its proper divisors (30701662704).

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

16347921696 is a wasteful number, since it uses less digits than its factorization.

16347921696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683998 (or 683987 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 16347921696 in words is "sixteen billion, three hundred forty-seven million, nine hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 683899 1367798 2051697 2735596 4103394 5471192 6155091 8206788 10942384 12310182 16413576 21884768 24620364 32827152 49240728 56763617 65654304 98481456 113527234 170290851 196962912 227054468 340581702 454108936 510872553 681163404 908217872 1021745106 1362326808 1816435744 2043490212 2724653616 4086980424 5449307232 8173960848 16347921696