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5450713632 = 2532713316709
BaseRepresentation
bin1010001001110001…
…10100101000100000
3112001212110221102200
411010320310220200
542130340314012
62300511413200
7252034205250
oct50470645040
915055427380
105450713632
112347870911
121081524200
1368b348350
14399ca7960
1521d7d63dc
hex144e34a20

5450713632 has 288 divisors, whose sum is σ = 19695836160. Its totient is φ = 1390970880.

The previous prime is 5450713603. The next prime is 5450713633. The reversal of 5450713632 is 2363170545.

5450713632 is a `hidden beast` number, since 5 + 4 + 5 + 0 + 7 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5450713633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809094 + ... + 815802.

It is an arithmetic number, because the mean of its divisors is an integer number (68388320).

Almost surely, 25450713632 is an apocalyptic number.

5450713632 is a gapful number since it is divisible by the number (52) 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 5450713632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847918080).

5450713632 is an abundant number, since it is smaller than the sum of its proper divisors (14245122528).

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

5450713632 is a wasteful number, since it uses less digits than its factorization.

5450713632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5450713632 is about 73828.9484687409. The cubic root of 5450713632 is about 1759.8856709480.

The spelling of 5450713632 in words is "five billion, four hundred fifty million, seven hundred thirteen thousand, six hundred thirty-two".