Search a number
-
+
16662957696 = 2732711375077
BaseRepresentation
bin11111000010011000…
…01000111010000000
31121000021021221210100
433201030020322000
5233111204121241
611353241002400
71126631542410
oct174114107200
947007257710
1016662957696
117080894820
123290483400
1317572260a8
14b41026640
15677cec9b6
hex3e1308e80

16662957696 has 384 divisors, whose sum is σ = 61408863360. Its totient is φ = 4210237440.

The previous prime is 16662957673. The next prime is 16662957743. The reversal of 16662957696 is 69675926661.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3279510 + ... + 3284586.

It is an arithmetic number, because the mean of its divisors is an integer number (159918915).

Almost surely, 216662957696 is an apocalyptic number.

16662957696 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 16662957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30704431680).

16662957696 is an abundant number, since it is smaller than the sum of its proper divisors (44745905664).

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

16662957696 is a wasteful number, since it uses less digits than its factorization.

16662957696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5137 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 16662957696 in words is "sixteen billion, six hundred sixty-two million, nine hundred fifty-seven thousand, six hundred ninety-six".