Search a number
-
+
16516970496 = 21136132337
BaseRepresentation
bin11110110000111110…
…01111100000000000
31120122002121001000000
433120133033200000
5232311321023441
611330544000000
71123206634635
oct173037174000
946562531000
1016516970496
117006443444
12324b600000
131732c00830
14b298a418c
1566a0b22b6
hex3d87cf800

16516970496 has 672 divisors, whose sum is σ = 57147461280. Its totient is φ = 4729798656.

The previous prime is 16516970471. The next prime is 16516970507. The reversal of 16516970496 is 69407961561.

It is a happy number.

16516970496 is a `hidden beast` number, since 1 + 65 + 1 + 6 + 97 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 446404590 + ... + 446404626.

It is an arithmetic number, because the mean of its divisors is an integer number (85040865).

Almost surely, 216516970496 is an apocalyptic number.

16516970496 is a gapful number since it is divisible by the number (16) 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 16516970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573730640).

16516970496 is an abundant number, since it is smaller than the sum of its proper divisors (40630490784).

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

16516970496 is an equidigital number, since it uses as much as digits as its factorization.

16516970496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 16516970496 in words is "sixteen billion, five hundred sixteen million, nine hundred seventy thousand, four hundred ninety-six".