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480146630816 = 2537405529249
BaseRepresentation
bin1101111110010101111…
…10000010100010100000
31200220100020121001122202
412333022332002202200
530331320014141231
61004324252352332
746455324010466
oct6771276024240
91626306531582
10480146630816
111756a128a376
12790801756a8
133637bc62648
141934c5ca836
15c752bcd5cb
hex6fcaf828a0

480146630816 has 24 divisors (see below), whose sum is σ = 970837024500. Its totient is φ = 233584846848.

The previous prime is 480146630809. The next prime is 480146630839. The reversal of 480146630816 is 618036641084.

It can be written as a sum of positive squares in 2 ways, for example, as 479412220816 + 734410000 = 692396^2 + 27100^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202763441 + ... + 202765808.

Almost surely, 2480146630816 is an apocalyptic number.

It is an amenable number.

480146630816 is an abundant number, since it is smaller than the sum of its proper divisors (490690393684).

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

480146630816 is a wasteful number, since it uses less digits than its factorization.

480146630816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405529296 (or 405529288 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 480146630816 in words is "four hundred eighty billion, one hundred forty-six million, six hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 405529249 811058498 1622116996 3244233992 6488467984 12976935968 15004582213 30009164426 60018328852 120036657704 240073315408 480146630816