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5457279744 = 28347241131
BaseRepresentation
bin1010001010100011…
…10111101100000000
3112002022211112110000
411011101313230000
542134030422434
62301304240000
7252144053400
oct50521675400
915068745400
105457279744
112350546054
121083770000
1368c806c17
1439aad6800
1521e181b99
hex145477b00

5457279744 has 540 divisors, whose sum is σ = 19539090648. Its totient is φ = 1509580800.

The previous prime is 5457279727. The next prime is 5457279749. The reversal of 5457279744 is 4479727545.

5457279744 is a `hidden beast` number, since 545 + 7 + 2 + 7 + 97 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5457279749) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41658559 + ... + 41658689.

Almost surely, 25457279744 is an apocalyptic number.

5457279744 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 5457279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769545324).

5457279744 is an abundant number, since it is smaller than the sum of its proper divisors (14081810904).

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

5457279744 is a wasteful number, since it uses less digits than its factorization.

5457279744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The square root of 5457279744 is about 73873.4034954394. The cubic root of 5457279744 is about 1760.5920597634.

The spelling of 5457279744 in words is "five billion, four hundred fifty-seven million, two hundred seventy-nine thousand, seven hundred forty-four".