Search a number
-
+
5668078416 = 24371113232223
BaseRepresentation
bin1010100011101100…
…00000001101010000
3112122000111012212020
411101312000031100
543102012002131
62334234331440
7260313604650
oct52166001520
915560435766
105668078416
112449534230
121122289b80
136c43a2470
143baaca360
15232920996
hex151d80350

5668078416 has 480 divisors, whose sum is σ = 20644012032. Its totient is φ = 1294064640.

The previous prime is 5668078399. The next prime is 5668078463. The reversal of 5668078416 is 6148708665.

It is a super-2 number, since 2×56680784162 = 64254225859850138112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25417281 + ... + 25417503.

Almost surely, 25668078416 is an apocalyptic number.

5668078416 is a gapful number since it is divisible by the number (56) 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 5668078416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322006016).

5668078416 is an abundant number, since it is smaller than the sum of its proper divisors (14975933616).

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

5668078416 is a wasteful number, since it uses less digits than its factorization.

5668078416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 5668078416 is about 75286.6416836347. The cubic root of 5668078416 is about 1782.9751213518.

The spelling of 5668078416 in words is "five billion, six hundred sixty-eight million, seventy-eight thousand, four hundred sixteen".