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16416663552 = 211333161157
BaseRepresentation
bin11110100101000001…
…00110100000000000
31120101002211220202000
433102200212200000
5232110131213202
611313002024000
71120551223602
oct172240464000
946332756660
1016416663552
116a64862343
123221aa8000
1317181b0403
14b1a433172
1566139b91c
hex3d2826800

16416663552 has 384 divisors, whose sum is σ = 51346713600. Its totient is φ = 5175705600.

The previous prime is 16416663503. The next prime is 16416663553. The reversal of 16416663552 is 25536661461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 16416663498 and 16416663507.

It is not an unprimeable number, because it can be changed into a prime (16416663553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104564658 + ... + 104564814.

It is an arithmetic number, because the mean of its divisors is an integer number (133715400).

Almost surely, 216416663552 is an apocalyptic number.

16416663552 is a gapful number since it is divisible by the number (12) 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 16416663552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25673356800).

16416663552 is an abundant number, since it is smaller than the sum of its proper divisors (34930050048).

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

16416663552 is a wasteful number, since it uses less digits than its factorization.

16416663552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 16416663552 in words is "sixteen billion, four hundred sixteen million, six hundred sixty-three thousand, five hundred fifty-two".