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5455537920 = 2834577517
BaseRepresentation
bin1010001010010110…
…01110011100000000
3112002012120001010000
411011023032130000
542133104203140
62301203040000
7252123210240
oct50513163400
915065501100
105455537920
11234a566428
121083070000
1368c347161
1439a7a1b20
1521de3aa30
hex1452ce700

5455537920 has 360 divisors, whose sum is σ = 22312581984. Its totient is φ = 1246814208.

The previous prime is 5455537909. The next prime is 5455537921. The reversal of 5455537920 is 297355545.

5455537920 is a `hidden beast` number, since 5 + 4 + 5 + 553 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5455537921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 722002 + ... + 729518.

Almost surely, 25455537920 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 5455537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156290992).

5455537920 is an abundant number, since it is smaller than the sum of its proper divisors (16857044064).

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

5455537920 is an equidigital number, since it uses as much as digits as its factorization.

5455537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The square root of 5455537920 is about 73861.6133048825. The cubic root of 5455537920 is about 1760.4047278587.

The spelling of 5455537920 in words is "five billion, four hundred fifty-five million, five hundred thirty-seven thousand, nine hundred twenty".