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5337288000 = 2632531123293
BaseRepresentation
bin1001111100010000…
…01000110101000000
3111202222001022201100
410332020020311000
541412321204000
62241340334400
7246156125262
oct47610106500
914688038640
105337288000
11229983a520
12104b544400
136709b39a5
14388bbdb32
1521387da00
hex13e208d40

5337288000 has 672 divisors, whose sum is σ = 21807781632. Its totient is φ = 1233408000.

The previous prime is 5337287983. The next prime is 5337288007. The reversal of 5337288000 is 8827335.

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 (5337288007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18215854 + ... + 18216146.

It is an arithmetic number, because the mean of its divisors is an integer number (32452056).

Almost surely, 25337288000 is an apocalyptic number.

5337288000 is a gapful number since it is divisible by the number (50) 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 5337288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903890816).

5337288000 is an abundant number, since it is smaller than the sum of its proper divisors (16470493632).

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

5337288000 is a wasteful number, since it uses less digits than its factorization.

5337288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5337288000 is about 73056.7450684740. The cubic root of 5337288000 is about 1747.5926627232.

The spelling of 5337288000 in words is "five billion, three hundred thirty-seven million, two hundred eighty-eight thousand".