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5407299072 = 293371719173
BaseRepresentation
bin1010000100100110…
…01101011000000000
3111221211210020212000
411002103031120000
542033232032242
62252321104000
7250666166220
oct50223153000
914854706760
105407299072
11232530890a
12106aa88000
13682357566
14394206080
15219aaca4c
hex1424cd600

5407299072 has 640 divisors, whose sum is σ = 20505830400. Its totient is φ = 1369571328.

The previous prime is 5407299071. The next prime is 5407299097. The reversal of 5407299072 is 2709927045.

It is a super-2 number, since 2×54072990722 = 58477766508104122368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407299071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31255978 + ... + 31256150.

It is an arithmetic number, because the mean of its divisors is an integer number (32040360).

Almost surely, 25407299072 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 5407299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10252915200).

5407299072 is an abundant number, since it is smaller than the sum of its proper divisors (15098531328).

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

5407299072 is a wasteful number, since it uses less digits than its factorization.

5407299072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5407299072 is about 73534.3394068377. The cubic root of 5407299072 is about 1755.2007543013.

The spelling of 5407299072 in words is "five billion, four hundred seven million, two hundred ninety-nine thousand, seventy-two".