Search a number
-
+
99015973056 = 263272111324533
BaseRepresentation
bin101110000110111001…
…1111101100011000000
3100110120121000121001100
41130031303331203000
53110241042114211
6113253131534400
710103464612200
oct1341563754300
9313517017040
1099015973056
1138aa0a320a0
12172342ba400
13944c9a5a90
144b144b0400
152897b61156
hex170dcfd8c0

99015973056 has 504 divisors, whose sum is σ = 387881951184. Its totient is φ = 23739125760.

The previous prime is 99015973033. The next prime is 99015973079. The reversal of 99015973056 is 65037951099.

It is an interprime number because it is at equal distance from previous prime (99015973033) and next prime (99015973079).

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 99015972993 and 99015973011.

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 71 ways as a sum of consecutive naturals, for example, 4023766 + ... + 4048298.

It is an arithmetic number, because the mean of its divisors is an integer number (769607046).

Almost surely, 299015973056 is an apocalyptic number.

99015973056 is a gapful number since it is divisible by the number (96) 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 99015973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193940975592).

99015973056 is an abundant number, since it is smaller than the sum of its proper divisors (288865978128).

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

99015973056 is a wasteful number, since it uses less digits than its factorization.

99015973056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24589 (or 24569 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The spelling of 99015973056 in words is "ninety-nine billion, fifteen million, nine hundred seventy-three thousand, fifty-six".