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492605092512 = 253413431272677
BaseRepresentation
bin1110010101100011000…
…11010011001010100000
31202002111111101111020000
413022301203103022200
531032323400430022
61014144420420000
750406133125321
oct7126143231240
91662444344200
10492605092512
1117aa04807005
127b578547600
13375b6097480
1419bb106a448
15cc3180e6ac
hex72b18d32a0

492605092512 has 480 divisors, whose sum is σ = 1609634138112. Its totient is φ = 146825312256.

The previous prime is 492605092487. The next prime is 492605092543. The reversal of 492605092512 is 215290506294.

492605092512 is a `hidden beast` number, since 4 + 9 + 2 + 605 + 0 + 9 + 25 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184012518 + ... + 184015194.

Almost surely, 2492605092512 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 492605092512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804817069056).

492605092512 is an abundant number, since it is smaller than the sum of its proper divisors (1117029045600).

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

492605092512 is a wasteful number, since it uses less digits than its factorization.

492605092512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 492605092512 in words is "four hundred ninety-two billion, six hundred five million, ninety-two thousand, five hundred twelve".