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2169416704 = 21071331751
BaseRepresentation
bin1000000101001110…
…1010110000000000
312121012010210020211
42001103222300000
513420332313304
6555134043504
7104521511020
oct20123526000
95535123224
102169416704
11a13640974
12506649594
132875b4030
14168199a80
15ca6ca204
hex814eac00

2169416704 has 176 divisors, whose sum is σ = 5517008896. Its totient is φ = 829440000.

The previous prime is 2169416681. The next prime is 2169416759. The reversal of 2169416704 is 4076149612.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2888329 + ... + 2889079.

Almost surely, 22169416704 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 2169416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758504448).

2169416704 is an abundant number, since it is smaller than the sum of its proper divisors (3347592192).

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

2169416704 is a wasteful number, since it uses less digits than its factorization.

2169416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 2169416704 is about 46576.9975846447. The cubic root of 2169416704 is about 1294.5365791130.

The spelling of 2169416704 in words is "two billion, one hundred sixty-nine million, four hundred sixteen thousand, seven hundred four".