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499255296400 = 2452761032
BaseRepresentation
bin1110100001111011110…
…11110100000110010000
31202201122221220211221201
413100331323310012100
531134433323441100
61021204341400544
751033004000000
oct7207573640620
91681587824851
10499255296400
11182807665683
1280913709154
1338105a88c63
141a242370000
15cec058036a
hex743def4190

499255296400 has 315 divisors, whose sum is σ = 1413087305601. Its totient is φ = 169511368320.

The previous prime is 499255296373. The next prime is 499255296401. The reversal of 499255296400 is 4692552994.

The square root of 499255296400 is 706580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 179731906704 + 319523389696 = 423948^2 + 565264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (499255296401) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4847138749 + ... + 4847138851.

Almost surely, 2499255296400 is an apocalyptic number.

499255296400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

499255296400 is the 706580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499255296400

499255296400 is an abundant number, since it is smaller than the sum of its proper divisors (913832009201).

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

499255296400 is an frugal number, since it uses more digits than its factorization.

499255296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 499255296400 in words is "four hundred ninety-nine billion, two hundred fifty-five million, two hundred ninety-six thousand, four hundred".