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5434490880 = 214365713
BaseRepresentation
bin1010000111110101…
…11100000000000000
3112000201221202000000
411003322330000000
542112212202010
62255132000000
7251446260510
oct50372740000
915021852000
105434490880
1123396a0485
121078000000
13687b882a0
14397a83840
1521c17e7c0
hex143ebc000

5434490880 has 840 divisors, whose sum is σ = 24067230432. Its totient is φ = 1146617856.

The previous prime is 5434490833. The next prime is 5434490881. The reversal of 5434490880 is 880944345.

It is a happy number.

5434490880 is a `hidden beast` number, since 54 + 34 + 490 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×54344908802 = 59067382249606348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434490881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418037754 + ... + 418037766.

Almost surely, 25434490880 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 5434490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033615216).

5434490880 is an abundant number, since it is smaller than the sum of its proper divisors (18632739552).

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

5434490880 is an frugal number, since it uses more digits than its factorization.

5434490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5434490880 is about 73718.9994506165. Note that the first 3 decimals coincide. The cubic root of 5434490880 is about 1758.1379756354.

The spelling of 5434490880 in words is "five billion, four hundred thirty-four million, four hundred ninety thousand, eight hundred eighty".