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497680112934144 = 283272173114395813
BaseRepresentation
bin111000100101000110010111…
…0010101111101110100000000
32102021010202100202210010222200
41301022030232111331310000
51010212442332402343034
64522251030530433200
7206554126101312300
oct16112145625756400
92367122322703880
10497680112934144
11134637a50291878
12479998a6a32800
1318491058147b3a
148ac7bbb57d600
153c80c063a2a99
hex1c4a32e57dd00

497680112934144 has 1296 divisors, whose sum is σ = 1825993011548160. Its totient is φ = 129400584929280.

The previous prime is 497680112934139. The next prime is 497680112934239. The reversal of 497680112934144 is 441439211086794.

It is a happy number.

497680112934144 is a `hidden beast` number, since 4 + 97 + 6 + 8 + 0 + 1 + 129 + 3 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85615017382 + ... + 85615023194.

It is an arithmetic number, because the mean of its divisors is an integer number (1408945224960).

Almost surely, 2497680112934144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497680112934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912996505774080).

497680112934144 is an abundant number, since it is smaller than the sum of its proper divisors (1328312898614016).

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

497680112934144 is a wasteful number, since it uses less digits than its factorization.

497680112934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 497680112934144 in words is "four hundred ninety-seven trillion, six hundred eighty billion, one hundred twelve million, nine hundred thirty-four thousand, one hundred forty-four".