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497913799680 = 210335112172103
BaseRepresentation
bin1110011111011011111…
…10011010010000000000
31202121012110122202102000
413033231332122100000
531124211413042210
61020423300424000
750654524315563
oct7175576322000
91677173582360
10497913799680
111821893a5300
12805ba3a8000
1337c50b8210b
141a15612a4da
15ce428e4ac0
hex73edf9a400

497913799680 has 1584 divisors, whose sum is σ = 2086183182720. Its totient is φ = 112503029760.

The previous prime is 497913799661. The next prime is 497913799693. The reversal of 497913799680 is 86997319794.

497913799680 is a `hidden beast` number, since 4 + 9 + 7 + 91 + 379 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a junction number, because it is equal to n+sod(n) for n = 497913799599 and 497913799608.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4834114509 + ... + 4834114611.

Almost surely, 2497913799680 is an apocalyptic number.

497913799680 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 497913799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043091591360).

497913799680 is an abundant number, since it is smaller than the sum of its proper divisors (1588269383040).

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

497913799680 is a wasteful number, since it uses less digits than its factorization.

497913799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 497913799680 in words is "four hundred ninety-seven billion, nine hundred thirteen million, seven hundred ninety-nine thousand, six hundred eighty".