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492749141472 = 253272172053943
BaseRepresentation
bin1110010101110100010…
…00110011010111100000
31202002212112102221020200
413022322020303113200
531033122240011342
61014211004105200
750412532411200
oct7127210632740
91662775387220
10492749141472
1117aa79054135
127b5b8835200
1337609b91743
1419bc6246400
15cc3e2b594c
hex72ba2335e0

492749141472 has 216 divisors, whose sum is σ = 1725916819536. Its totient is φ = 132503906304.

The previous prime is 492749141419. The next prime is 492749141483. The reversal of 492749141472 is 274141947294.

492749141472 is a `hidden beast` number, since 4 + 9 + 2 + 7 + 491 + 4 + 147 + 2 = 666.

It is a super-3 number, since 3×4927491414723 (a number of 36 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 787068 + ... + 1266875.

It is an arithmetic number, because the mean of its divisors is an integer number (7990355646).

Almost surely, 2492749141472 is an apocalyptic number.

492749141472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

492749141472 is an abundant number, since it is smaller than the sum of its proper divisors (1233167678064).

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

492749141472 is a wasteful number, since it uses less digits than its factorization.

492749141472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053990 (or 2053972 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 492749141472 in words is "four hundred ninety-two billion, seven hundred forty-nine million, one hundred forty-one thousand, four hundred seventy-two".