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491532481440 = 253457111337889
BaseRepresentation
bin1110010011100011001…
…11100111001110100000
31201222201202002012110000
413021301213213032200
531023124303401230
61013450142540000
750340430104330
oct7116147471640
91658652065400
10491532481440
1117a5042a9480
127b319297600
1337474ab6170
1419b0c81b0c0
15cbbc588b60
hex72719e73a0

491532481440 has 960 divisors, whose sum is σ = 2329169230080. Its totient is φ = 94277468160.

The previous prime is 491532481411. The next prime is 491532481471. The reversal of 491532481440 is 44184235194.

491532481440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12954016 + ... + 12991904.

It is an arithmetic number, because the mean of its divisors is an integer number (2426217948).

Almost surely, 2491532481440 is an apocalyptic number.

491532481440 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 491532481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164584615040).

491532481440 is an abundant number, since it is smaller than the sum of its proper divisors (1837636748640).

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

491532481440 is a wasteful number, since it uses less digits than its factorization.

491532481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37947 (or 37930 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 491532481440 in words is "four hundred ninety-one billion, five hundred thirty-two million, four hundred eighty-one thousand, four hundred forty".