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480825333875077 = 3789146014374089
BaseRepresentation
bin110110101010011101101111…
…1001110011000000110000101
32100001110110020020102002001221
41231110323133032120012011
51001010320240433000302
64422344035312520341
7203164325003204062
oct15524733716300605
92301413206362057
10480825333875077
1112a229973977874
1245b172075500b1
131783a832ac1659
1486a40dadbbc69
153a8c584ecc937
hex1b54edf398185

480825333875077 has 8 divisors (see below), whose sum is σ = 499369159387800. Its totient is φ = 462573537110784.

The previous prime is 480825333875071. The next prime is 480825333875087. The reversal of 480825333875077 is 770578333528084.

It can be written as a sum of positive squares in 4 ways, for example, as 170956697151681 + 309868636723396 = 13075041^2 + 17603086^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480825333875077 - 211 = 480825333873029 is a prime.

It is a super-3 number, since 3×4808253338750773 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480825333874997 and 480825333875015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480825333875071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73007183752 + ... + 73007190337.

It is an arithmetic number, because the mean of its divisors is an integer number (62421144923475).

Almost surely, 2480825333875077 is an apocalyptic number.

It is an amenable number.

480825333875077 is a deficient number, since it is larger than the sum of its proper divisors (18543825512723).

480825333875077 is a wasteful number, since it uses less digits than its factorization.

480825333875077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146014374215.

The product of its (nonzero) digits is 948326400, while the sum is 70.

The spelling of 480825333875077 in words is "four hundred eighty trillion, eight hundred twenty-five billion, three hundred thirty-three million, eight hundred seventy-five thousand, seventy-seven".

Divisors: 1 37 89 3293 146014374089 5402531841293 12995279293921 480825333875077