Search a number
-
+
16695381057960 = 233511371798872153
BaseRepresentation
bin1111001011110011001001…
…0000011110000110101000
32012010001200210220122011010
43302330302100132012220
54142014120022323320
655301430245303520
73342126051334623
oct362746220360650
965101623818133
1016695381057960
1153575203a55a0
121a57815404ba0
139414a1a35247
1441a0bc9d4dba
151de4426ecae0
hexf2f3241e1a8

16695381057960 has 512 divisors, whose sum is σ = 56519526297600. Its totient is φ = 3909745336320.

The previous prime is 16695381057937. The next prime is 16695381057977. The reversal of 16695381057960 is 6975018359661.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 16695381057891 and 16695381057900.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7754472244 + ... + 7754474396.

It is an arithmetic number, because the mean of its divisors is an integer number (110389699800).

Almost surely, 216695381057960 is an apocalyptic number.

16695381057960 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 16695381057960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28259763148800).

16695381057960 is an abundant number, since it is smaller than the sum of its proper divisors (39824145239640).

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

16695381057960 is a wasteful number, since it uses less digits than its factorization.

16695381057960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 16695381057960 in words is "sixteen trillion, six hundred ninety-five billion, three hundred eighty-one million, fifty-seven thousand, nine hundred sixty".