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5402665440 = 253351737229
BaseRepresentation
bin1010000100000011…
…00010000111100000
3111221112001211201000
411002001202013200
542031040243230
62252033512000
7250611620124
oct50201420740
914845054630
105402665440
112322733567
121069412600
136813c4473
1439375b584
15219494b60
hex1420621e0

5402665440 has 192 divisors, whose sum is σ = 19021262400. Its totient is φ = 1432184832.

The previous prime is 5402665423. The next prime is 5402665493. The reversal of 5402665440 is 445662045.

5402665440 is a `hidden beast` number, since 54 + 0 + 2 + 66 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5402665395 and 5402665404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743746 + ... + 750974.

It is an arithmetic number, because the mean of its divisors is an integer number (99069075).

Almost surely, 25402665440 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 5402665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510631200).

5402665440 is an abundant number, since it is smaller than the sum of its proper divisors (13618596960).

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

5402665440 is a wasteful number, since it uses less digits than its factorization.

5402665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5402665440 is about 73502.8260681180. The cubic root of 5402665440 is about 1754.6992544778.

The spelling of 5402665440 in words is "five billion, four hundred two million, six hundred sixty-five thousand, four hundred forty".