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5445031680 = 283351114323
BaseRepresentation
bin1010001001000110…
…01001011100000000
3112001110210021021000
411010203021130000
542122412003210
62300145532000
7251635001634
oct50443113400
915043707230
105445031680
11234463a990
12107b644000
1368a10904a
14399228dc4
1521d062ac0
hex1448c9700

5445031680 has 288 divisors, whose sum is σ = 21080344320. Its totient is φ = 1319915520.

The previous prime is 5445031651. The next prime is 5445031681. The reversal of 5445031680 is 861305445.

It is a happy number.

5445031680 is a `hidden beast` number, since 544 + 5 + 0 + 31 + 6 + 80 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5445031681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372999 + ... + 387321.

It is an arithmetic number, because the mean of its divisors is an integer number (73195640).

Almost surely, 25445031680 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 5445031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540172160).

5445031680 is an abundant number, since it is smaller than the sum of its proper divisors (15635312640).

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

5445031680 is a wasteful number, since it uses less digits than its factorization.

5445031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14364 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5445031680 is about 73790.4579197067. The cubic root of 5445031680 is about 1759.2739429434.

The spelling of 5445031680 in words is "five billion, four hundred forty-five million, thirty-one thousand, six hundred eighty".