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492118716672 = 2836112193137
BaseRepresentation
bin1110010100101001000…
…11111011000100000000
31202001020121012001000000
413022110203323010000
531030324342413142
61014024244000000
750361106034052
oct7122443730400
91661217161000
10492118716672
1117a785205700
127b461690000
13375393a270b
1419b6661d8d2
15cc03c8814c
hex72948fb100

492118716672 has 1512 divisors, whose sum is σ = 1806576154880. Its totient is φ = 133025587200.

The previous prime is 492118716667. The next prime is 492118716673. The reversal of 492118716672 is 276617811294.

492118716672 is a `hidden beast` number, since 492 + 1 + 1 + 87 + 1 + 6 + 6 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (492118716673) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13300505838 + ... + 13300505874.

Almost surely, 2492118716672 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 492118716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903288077440).

492118716672 is an abundant number, since it is smaller than the sum of its proper divisors (1314457438208).

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

492118716672 is a wasteful number, since it uses less digits than its factorization.

492118716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 492118716672 in words is "four hundred ninety-two billion, one hundred eighteen million, seven hundred sixteen thousand, six hundred seventy-two".