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6489260144640 = 211335713972659
BaseRepresentation
bin101111001101110011000…
…0010111011100000000000
3211222100220200211002021000
41132123212002323200000
51322310001044112030
621445042553532000
71236555626061060
oct136334602734000
924870820732230
106489260144640
1120820971a4629
128897b4114000
13380c1c438270
141861208dd3a0
15b3c01cb6860
hex5e6e60bb800

6489260144640 has 1536 divisors, whose sum is σ = 28693986048000. Its totient is φ = 1354537893888.

The previous prime is 6489260144603. The next prime is 6489260144657. The reversal of 6489260144640 is 464410629846.

6489260144640 is a `hidden beast` number, since 6 + 489 + 2 + 60 + 1 + 44 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×64892601446402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2440487631 + ... + 2440490289.

It is an arithmetic number, because the mean of its divisors is an integer number (18680980500).

Almost surely, 26489260144640 is an apocalyptic number.

6489260144640 is a gapful number since it is divisible by the number (60) 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 6489260144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346993024000).

6489260144640 is an abundant number, since it is smaller than the sum of its proper divisors (22204725903360).

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

6489260144640 is a wasteful number, since it uses less digits than its factorization.

6489260144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6489260144640 in words is "six trillion, four hundred eighty-nine billion, two hundred sixty million, one hundred forty-four thousand, six hundred forty".