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5465463120 = 24335131511289
BaseRepresentation
bin1010001011100010…
…00101100101010000
3112002220020021221000
411011301011211100
542143124304440
62302155502000
7252303445545
oct50561054520
915086207830
105465463120
112355125377
121086457900
13691410960
1439bc26bcc
1521ec4b730
hex145c45950

5465463120 has 320 divisors, whose sum is σ = 20423692800. Its totient is φ = 1335398400.

The previous prime is 5465463097. The next prime is 5465463121. The reversal of 5465463120 is 213645645.

5465463120 is a `hidden beast` number, since 546 + 54 + 63 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465463121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4239436 + ... + 4240724.

It is an arithmetic number, because the mean of its divisors is an integer number (63824040).

Almost surely, 25465463120 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 5465463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211846400).

5465463120 is an abundant number, since it is smaller than the sum of its proper divisors (14958229680).

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

5465463120 is a wasteful number, since it uses less digits than its factorization.

5465463120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5465463120 is about 73928.7705835827. The cubic root of 5465463120 is about 1761.4716427499.

The spelling of 5465463120 in words is "five billion, four hundred sixty-five million, four hundred sixty-three thousand, one hundred twenty".