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16349364648 = 2337934463
BaseRepresentation
bin11110011100111111…
…11000000110101000
31120012102012210000000
433032133320012220
5231440414132043
611302155343000
71116103210101
oct171637700650
946172183000
1016349364648
116a2a876711
123203451a60
131707279186
14b115153a8
1565a5062d3
hex3ce7f81a8

16349364648 has 64 divisors (see below), whose sum is σ = 45975628800. Its totient is φ = 5449782384.

The previous prime is 16349364641. The next prime is 16349364649. The reversal of 16349364648 is 84646394361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16349364594 and 16349364603.

It is not an unprimeable number, because it can be changed into a prime (16349364641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 449736 + ... + 484727.

It is an arithmetic number, because the mean of its divisors is an integer number (718369200).

Almost surely, 216349364648 is an apocalyptic number.

16349364648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16349364648 is an abundant number, since it is smaller than the sum of its proper divisors (29626264152).

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

16349364648 is an frugal number, since it uses more digits than its factorization.

16349364648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934490 (or 934468 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 16349364648 in words is "sixteen billion, three hundred forty-nine million, three hundred sixty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 934463 1868926 2803389 3737852 5606778 7475704 8410167 11213556 16820334 22427112 25230501 33640668 50461002 67281336 75691503 100922004 151383006 201844008 227074509 302766012 454149018 605532024 681223527 908298036 1362447054 1816596072 2043670581 2724894108 4087341162 5449788216 8174682324 16349364648