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489132512400 = 243527831674201
BaseRepresentation
bin1110001111000101001…
…00011101010010010000
31201202112111010010211210
413013202210131102100
531003220410344100
61012412051140120
750224105520130
oct7074244352220
91652474103753
10489132512400
11179492608194
127a9695a4640
133718180b63c
1419961ba8ac0
15cacba1bc50
hex71e291d490

489132512400 has 480 divisors, whose sum is σ = 1823551285248. Its totient is φ = 109767168000.

The previous prime is 489132512387. The next prime is 489132512423. The reversal of 489132512400 is 4215231984.

It is a super-2 number, since 2×4891325124002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116430300 + ... + 116434500.

Almost surely, 2489132512400 is an apocalyptic number.

489132512400 is a gapful number since it is divisible by the number (40) 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 489132512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911775642624).

489132512400 is an abundant number, since it is smaller than the sum of its proper divisors (1334418772848).

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

489132512400 is a wasteful number, since it uses less digits than its factorization.

489132512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 489132512400 in words is "four hundred eighty-nine billion, one hundred thirty-two million, five hundred twelve thousand, four hundred".