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5416455744 = 26347295147
BaseRepresentation
bin1010000101101100…
…01000111001000000
3111222111000110110000
411002312020321000
542043103040434
62253245240000
7251140054110
oct50266107100
914874013400
105416455744
11232a4a2407
121071b63000
136842122cb
1439550b040
1521a7bab99
hex142d88e40

5416455744 has 280 divisors, whose sum is σ = 18986235840. Its totient is φ = 1493904384.

The previous prime is 5416455713. The next prime is 5416455763. The reversal of 5416455744 is 4475546145.

5416455744 is a `hidden beast` number, since 54 + 1 + 6 + 4 + 557 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5416455744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1049779 + ... + 1054925.

Almost surely, 25416455744 is an apocalyptic number.

5416455744 is a gapful number since it is divisible by the number (54) 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 5416455744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493117920).

5416455744 is an abundant number, since it is smaller than the sum of its proper divisors (13569780096).

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

5416455744 is a wasteful number, since it uses less digits than its factorization.

5416455744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207 (or 5188 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 5416455744 is about 73596.5742681003. The cubic root of 5416455744 is about 1756.1909426847.

The spelling of 5416455744 in words is "five billion, four hundred sixteen million, four hundred fifty-five thousand, seven hundred forty-four".