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16899819221376 = 2732721332937127
BaseRepresentation
bin1111010111101100101110…
…1110001011000110000000
32012211121101110101101022100
43311323023232023012000
54203341312210041001
655535400400510400
73362654163135600
oct365731356130600
965747343341270
1016899819221376
11542619a411643
121a8b36b31b400
1395785268a000
14425d542c6c00
151e490a5e8586
hexf5ecbb8b180

16899819221376 has 2304 divisors, whose sum is σ = 65622106368000. Its totient is φ = 4154124828672.

The previous prime is 16899819221359. The next prime is 16899819221401. The reversal of 16899819221376 is 67312291899861.

16899819221376 is a `hidden beast` number, since 1 + 6 + 8 + 99 + 81 + 92 + 2 + 1 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133069442625 + ... + 133069442751.

It is an arithmetic number, because the mean of its divisors is an integer number (28481817000).

Almost surely, 216899819221376 is an apocalyptic number.

16899819221376 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 16899819221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32811053184000).

16899819221376 is an abundant number, since it is smaller than the sum of its proper divisors (48722287146624).

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

16899819221376 is a wasteful number, since it uses less digits than its factorization.

16899819221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 218 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 72.

The spelling of 16899819221376 in words is "sixteen trillion, eight hundred ninety-nine billion, eight hundred nineteen million, two hundred twenty-one thousand, three hundred seventy-six".