Search a number
-
+
16982597632 = 2137111319109
BaseRepresentation
bin11111101000011110…
…11110000000000000
31121211112202100100111
433310033132000000
5234240021111012
611445100001104
71140562461310
oct176417360000
947745670314
1016982597632
117225262a60
12335b530194
1317a850c450
14b7166d440
15695ddaba7
hex3f43de000

16982597632 has 448 divisors, whose sum is σ = 48441254400. Its totient is φ = 5733089280.

The previous prime is 16982597609. The next prime is 16982597677. The reversal of 16982597632 is 23679528961.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155803594 + ... + 155803702.

It is an arithmetic number, because the mean of its divisors is an integer number (108127800).

Almost surely, 216982597632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16982597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24220627200).

16982597632 is an abundant number, since it is smaller than the sum of its proper divisors (31458656768).

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

16982597632 is a wasteful number, since it uses less digits than its factorization.

16982597632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The spelling of 16982597632 in words is "sixteen billion, nine hundred eighty-two million, five hundred ninety-seven thousand, six hundred thirty-two".