Search a number
-
+
16659325008144 = 24327213192598527
BaseRepresentation
bin1111001001101100110100…
…1001100011100100010000
32011222121122000002112012200
43302123031021203210100
54140421244200230034
655233104355123200
73336411414065100
oct362331511434420
964877560075180
1016659325008144
1153431a8728715
121a508322a3500
1393ac76aab420
1441845c14b200
151dd5320b8a99
hexf26cd263910

16659325008144 has 1080 divisors, whose sum is σ = 62694776027520. Its totient is φ = 4091393037312.

The previous prime is 16659325008127. The next prime is 16659325008173. The reversal of 16659325008144 is 44180052395661.

16659325008144 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 93 + 2 + 500 + 8 + 1 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1953710409 + ... + 1953718935.

It is an arithmetic number, because the mean of its divisors is an integer number (58050718544).

Almost surely, 216659325008144 is an apocalyptic number.

16659325008144 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 16659325008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31347388013760).

16659325008144 is an abundant number, since it is smaller than the sum of its proper divisors (46035451019376).

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

16659325008144 is a wasteful number, since it uses less digits than its factorization.

16659325008144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 16659325008144 in words is "sixteen trillion, six hundred fifty-nine billion, three hundred twenty-five million, eight thousand, one hundred forty-four".