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16493955480 = 2335519314367
BaseRepresentation
bin11110101110001110…
…11100100110011000
31120120111021202100000
433113013130212120
5232234423033410
611324402413000
71122510210522
oct172707344630
946514252300
1016493955480
116aa4453972
123243961160
13172b202c92
14b267d2a12
15668067dc0
hex3d71dc998

16493955480 has 768 divisors, whose sum is σ = 62731468800. Its totient is φ = 3879912960.

The previous prime is 16493955479. The next prime is 16493955503. The reversal of 16493955480 is 8455939461.

16493955480 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 3 + 9 + 554 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 246178407 + ... + 246178473.

It is an arithmetic number, because the mean of its divisors is an integer number (81681600).

Almost surely, 216493955480 is an apocalyptic number.

16493955480 is a gapful number since it is divisible by the number (10) 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 16493955480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31365734400).

16493955480 is an abundant number, since it is smaller than the sum of its proper divisors (46237513320).

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

16493955480 is a wasteful number, since it uses less digits than its factorization.

16493955480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 16493955480 in words is "sixteen billion, four hundred ninety-three million, nine hundred fifty-five thousand, four hundred eighty".