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5435422776 = 23327109163607
BaseRepresentation
bin1010000111111100…
…11111100000111000
3112000210201002022200
411003332133200320
542112432012101
62255203550200
7251460221430
oct50376374070
915023632280
105435422776
11233a177643
12107838b360
136881234c4
14397c472c0
1521c2b5986
hex143f9f838

5435422776 has 192 divisors, whose sum is σ = 17110579200. Its totient is φ = 1526770944.

The previous prime is 5435422763. The next prime is 5435422793. The reversal of 5435422776 is 6772245345.

5435422776 is a `hidden beast` number, since 5 + 4 + 354 + 227 + 76 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8954265 + ... + 8954871.

It is an arithmetic number, because the mean of its divisors is an integer number (89117600).

Almost surely, 25435422776 is an apocalyptic number.

5435422776 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 5435422776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555289600).

5435422776 is an abundant number, since it is smaller than the sum of its proper divisors (11675156424).

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

5435422776 is a wasteful number, since it uses less digits than its factorization.

5435422776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 891 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 5435422776 is about 73725.3197755018. The cubic root of 5435422776 is about 1758.2384639266.

The spelling of 5435422776 in words is "five billion, four hundred thirty-five million, four hundred twenty-two thousand, seven hundred seventy-six".