Search a number
-
+
16980606720 = 28355711709
BaseRepresentation
bin11111101000001111…
…10111111100000000
31121211102000012100000
433310013313330000
5234234013403340
611444545200000
71140536530020
oct176407677400
947742005300
1016980606720
117224123180
12335a930000
1317a7c931ac
14b712b1a80
15695b45d30
hex3f41f7f00

16980606720 has 864 divisors, whose sum is σ = 76068195840. Its totient is φ = 3523461120.

The previous prime is 16980606703. The next prime is 16980606739. The reversal of 16980606720 is 2760608961.

16980606720 is a `hidden beast` number, since 16 + 9 + 8 + 0 + 606 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 23949726 + ... + 23950434.

Almost surely, 216980606720 is an apocalyptic number.

16980606720 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 16980606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38034097920).

16980606720 is an abundant number, since it is smaller than the sum of its proper divisors (59087589120).

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

16980606720 is an equidigital number, since it uses as much as digits as its factorization.

16980606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 16980606720 in words is "sixteen billion, nine hundred eighty million, six hundred six thousand, seven hundred twenty".