Search a number
-
+
16790968320 = 211357113691
BaseRepresentation
bin11111010001101000…
…11101100000000000
31121100012011120100120
433220310131200000
5233341441441240
611414052420240
71133044606260
oct175064354000
947305146316
1016790968320
117137078025
123307317680
1317778c6219
14b540297a0
15684186ad0
hex3e8d1d800

16790968320 has 384 divisors, whose sum is σ = 62024901120. Its totient is φ = 3798466560.

The previous prime is 16790968307. The next prime is 16790968321. The reversal of 16790968320 is 2386909761.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16790968321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24299175 + ... + 24299865.

It is an arithmetic number, because the mean of its divisors is an integer number (161523180).

Almost surely, 216790968320 is an apocalyptic number.

16790968320 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 16790968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31012450560).

16790968320 is an abundant number, since it is smaller than the sum of its proper divisors (45233932800).

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

16790968320 is a wasteful number, since it uses less digits than its factorization.

16790968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 16790968320 in words is "sixteen billion, seven hundred ninety million, nine hundred sixty-eight thousand, three hundred twenty".