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5450215680 = 283357131733
BaseRepresentation
bin1010001001101101…
…11011000100000000
3112001211112122101000
411010312323010000
542130223400210
62300453012000
7252030032430
oct50466730400
915054478330
105450215680
112347560788
121081324000
1368b2027c0
14399bb82c0
1521d738ac0
hex144dbb100

5450215680 has 576 divisors, whose sum is σ = 23817669120. Its totient is φ = 1149272064.

The previous prime is 5450215669. The next prime is 5450215681. The reversal of 5450215680 is 865120545.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×54502156803 (a number of 30 digits) contains 333 as substring.

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 (5450215681) 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, 3144094 + ... + 3145826.

It is an arithmetic number, because the mean of its divisors is an integer number (41350120).

Almost surely, 25450215680 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 5450215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908834560).

5450215680 is an abundant number, since it is smaller than the sum of its proper divisors (18367453440).

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

5450215680 is a wasteful number, since it uses less digits than its factorization.

5450215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5450215680 is about 73825.5760559984. The cubic root of 5450215680 is about 1759.8320776429.

The spelling of 5450215680 in words is "five billion, four hundred fifty million, two hundred fifteen thousand, six hundred eighty".