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5144435712 = 21034132367
BaseRepresentation
bin1001100101010000…
…11101110000000000
3111021112011102010000
410302220131300000
541013433420322
62210251040000
7241324660563
oct46250356000
914245142100
105144435712
1121aa999769
12bb6a40000
1363ca5cc00
1436b33c4da
152019873ac
hex132a1dc00

5144435712 has 330 divisors, whose sum is σ = 16680233328. Its totient is φ = 1578590208.

The previous prime is 5144435683. The next prime is 5144435717. The reversal of 5144435712 is 2175344415.

5144435712 is a `hidden beast` number, since 5 + 1 + 44 + 43 + 571 + 2 = 666.

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 (5144435717) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14017353 + ... + 14017719.

Almost surely, 25144435712 is an apocalyptic number.

5144435712 is a gapful number since it is divisible by the number (52) 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 5144435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340116664).

5144435712 is an abundant number, since it is smaller than the sum of its proper divisors (11535797616).

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

5144435712 is a wasteful number, since it uses less digits than its factorization.

5144435712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 385 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 5144435712 is about 71724.7217631411. The cubic root of 5144435712 is about 1726.2853361692.

The spelling of 5144435712 in words is "five billion, one hundred forty-four million, four hundred thirty-five thousand, seven hundred twelve".