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16673736416 = 254360719963
BaseRepresentation
bin11111000011101010…
…10000011011100000
31121001000120120102012
433201311100123200
5233121434031131
611354304012052
71130122264301
oct174165203340
947030516365
1016673736416
117086986a57
123294001028
13175952b22c
14b426307a8
15678c2b52b
hex3e1d506e0

16673736416 has 48 divisors (see below), whose sum is σ = 33646846464. Its totient is φ = 8129165184.

The previous prime is 16673736407. The next prime is 16673736419. The reversal of 16673736416 is 61463737661.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16673736419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825251 + ... + 845213.

It is an arithmetic number, because the mean of its divisors is an integer number (700975968).

Almost surely, 216673736416 is an apocalyptic number.

16673736416 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 16673736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823423232).

16673736416 is an abundant number, since it is smaller than the sum of its proper divisors (16973110048).

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

16673736416 is a wasteful number, since it uses less digits than its factorization.

16673736416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20623 (or 20615 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 50.

The spelling of 16673736416 in words is "sixteen billion, six hundred seventy-three million, seven hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 43 86 172 344 607 688 1214 1376 2428 4856 9712 19424 19963 26101 39926 52202 79852 104404 159704 208808 319408 417616 638816 835232 858409 1716818 3433636 6867272 12117541 13734544 24235082 27469088 48470164 96940328 193880656 387761312 521054263 1042108526 2084217052 4168434104 8336868208 16673736416