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497805855661440 = 273252392699133979
BaseRepresentation
bin111000100110000000111010…
…1001100011001110110000000
32102021120202220222220112100200
41301030001311030121312000
51010222022343022131230
64522424504125445200
7206566200112001004
oct16114016514316600
92367522828815320
10497805855661440
11134686306826a07
12479ba139a10800
131849cb770101a1
148acdd09484704
153c841155c2160
hex1c4c075319d80

497805855661440 has 384 divisors, whose sum is σ = 1726830705600000. Its totient is φ = 132142831521792.

The previous prime is 497805855661409. The next prime is 497805855661447. The reversal of 497805855661440 is 44166558508794.

497805855661440 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 0 + 5 + 8 + 5 + 566 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497805855661447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3715484371 + ... + 3715618349.

It is an arithmetic number, because the mean of its divisors is an integer number (4496954962500).

Almost surely, 2497805855661440 is an apocalyptic number.

497805855661440 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 497805855661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863415352800000).

497805855661440 is an abundant number, since it is smaller than the sum of its proper divisors (1229024849938560).

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

497805855661440 is a wasteful number, since it uses less digits than its factorization.

497805855661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136942 (or 136927 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 497805855661440 in words is "four hundred ninety-seven trillion, eight hundred five billion, eight hundred fifty-five million, six hundred sixty-one thousand, four hundred forty".