Search a number
-
+
16655393664 = 2734713127139
BaseRepresentation
bin11111000001011110…
…10010001110000000
31120222202001122220000
433200233102032000
5233102240044124
611352410520000
71126510340010
oct174057221600
946882048800
1016655393664
117077598858
123289a36000
1317557a8230
14b40017c40
156773066c9
hex3e0bd2380

16655393664 has 640 divisors, whose sum is σ = 61927219200. Its totient is φ = 4326690816.

The previous prime is 16655393641. The next prime is 16655393681. The reversal of 16655393664 is 46639355661.

It is a happy number.

16655393664 is a `hidden beast` number, since 16 + 6 + 5 + 539 + 36 + 64 = 666.

It is a super-2 number, since 2×166553936642 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16655393664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119822907 + ... + 119823045.

It is an arithmetic number, because the mean of its divisors is an integer number (96761280).

Almost surely, 216655393664 is an apocalyptic number.

16655393664 is a gapful number since it is divisible by the number (14) 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 16655393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30963609600).

16655393664 is an abundant number, since it is smaller than the sum of its proper divisors (45271825536).

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

16655393664 is a wasteful number, since it uses less digits than its factorization.

16655393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 16655393664 in words is "sixteen billion, six hundred fifty-five million, three hundred ninety-three thousand, six hundred sixty-four".