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5480101440 = 2633511232109
BaseRepresentation
bin1010001101010001…
…11011011001000000
3112010220202222221000
411012220323121000
542210401221230
62303441332000
7252542044062
oct50650733100
915126688830
105480101440
112362413360
12108b337000
13694467798
1439db57732
1522118db60
hex146a3b640

5480101440 has 672 divisors, whose sum is σ = 22249180800. Its totient is φ = 1259089920.

The previous prime is 5480101439. The next prime is 5480101483. The reversal of 5480101440 is 441010845.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50276106 + ... + 50276214.

It is an arithmetic number, because the mean of its divisors is an integer number (33108900).

Almost surely, 25480101440 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 5480101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11124590400).

5480101440 is an abundant number, since it is smaller than the sum of its proper divisors (16769079360).

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

5480101440 is a wasteful number, since it uses less digits than its factorization.

5480101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5480101440 is about 74027.7072453281. The cubic root of 5480101440 is about 1763.0428422963.

The spelling of 5480101440 in words is "five billion, four hundred eighty million, one hundred one thousand, four hundred forty".