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499512199680 = 29375136863
BaseRepresentation
bin1110100010011010011…
…11110100101000000000
31202202022212022220000000
413101031033310220000
531141000110342210
61021250040000000
751042243433104
oct7211517645000
91682285286000
10499512199680
1118292968393a
1280985760000
1338147077830
141a268525904
15ced7dc9ac0
hex744d3f4a00

499512199680 has 640 divisors, whose sum is σ = 1934666173440. Its totient is φ = 122938933248.

The previous prime is 499512199609. The next prime is 499512199691. The reversal of 499512199680 is 86991215994.

499512199680 is a `hidden beast` number, since 49 + 9 + 512 + 19 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 72779929 + ... + 72786791.

It is an arithmetic number, because the mean of its divisors is an integer number (3022915896).

Almost surely, 2499512199680 is an apocalyptic number.

499512199680 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 499512199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967333086720).

499512199680 is an abundant number, since it is smaller than the sum of its proper divisors (1435153973760).

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

499512199680 is an frugal number, since it uses more digits than its factorization.

499512199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 499512199680 in words is "four hundred ninety-nine billion, five hundred twelve million, one hundred ninety-nine thousand, six hundred eighty".