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479495098368 = 21232112138269
BaseRepresentation
bin1101111101001000010…
…00101001000000000000
31200211122211121210011100
412332210020221000000
530324001221121433
61004135500014400
746433223042126
oct6764410510000
91624584553140
10479495098368
11175397534400
1278b19b31400
13362a6c92ca0
14192c9c6b916
15c7158d1b13
hex6fa4229000

479495098368 has 468 divisors, whose sum is σ = 1639704031420. Its totient is φ = 134108282880.

The previous prime is 479495098361. The next prime is 479495098427. The reversal of 479495098368 is 863890594974.

479495098368 is a `hidden beast` number, since 4 + 7 + 94 + 95 + 0 + 98 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 265562947584 + 213932150784 = 515328^2 + 462528^2 .

It is a tau number, because it is divible by the number of its divisors (468).

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 = 479495098296 and 479495098305.

It is not an unprimeable number, because it can be changed into a prime (479495098361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57982938 + ... + 57991206.

Almost surely, 2479495098368 is an apocalyptic number.

479495098368 is a gapful number since it is divisible by the number (48) 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 479495098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819852015710).

479495098368 is an abundant number, since it is smaller than the sum of its proper divisors (1160208933052).

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

479495098368 is a wasteful number, since it uses less digits than its factorization.

479495098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 479495098368 in words is "four hundred seventy-nine billion, four hundred ninety-five million, ninety-eight thousand, three hundred sixty-eight".