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498530672640 = 213325721113193
BaseRepresentation
bin1110100000100101011…
…11100110000000000000
31202122210110102011000200
413100102233212000000
531131442323011030
61021004414245200
751006024541200
oct7202257460000
91678713364020
10498530672640
11182475628070
1280750ab6800
133801b9079c0
141a1b4026400
15ce7bb46d60
hex7412be6000

498530672640 has 2016 divisors, whose sum is σ = 2373962756256. Its totient is φ = 95126814720.

The previous prime is 498530672593. The next prime is 498530672657. The reversal of 498530672640 is 46276035894.

498530672640 is a `hidden beast` number, since 4 + 9 + 8 + 530 + 67 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

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, 2583060384 + ... + 2583060576.

It is an arithmetic number, because the mean of its divisors is an integer number (1177560891).

Almost surely, 2498530672640 is an apocalyptic number.

498530672640 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 498530672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186981378128).

498530672640 is an abundant number, since it is smaller than the sum of its proper divisors (1875432083616).

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

498530672640 is a wasteful number, since it uses less digits than its factorization.

498530672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 498530672640 in words is "four hundred ninety-eight billion, five hundred thirty million, six hundred seventy-two thousand, six hundred forty".