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248643634848 = 2537370005409
BaseRepresentation
bin1110011110010001010…
…0001100011010100000
3212202210101212100220220
43213210110030122200
513033210232303343
6310120400003040
723651423011260
oct3474424143240
9782711770826
10248643634848
11964a3939014
1240232300480
131a5a707a56b
14c06a61b7a0
156703be3183
hex39e450c6a0

248643634848 has 48 divisors (see below), whose sum is σ = 745930906560. Its totient is φ = 71041038336.

The previous prime is 248643634801. The next prime is 248643634849. The reversal of 248643634848 is 848436346842.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 248643634791 and 248643634800.

It is not an unprimeable number, because it can be changed into a prime (248643634849) 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, 185002033 + ... + 185003376.

It is an arithmetic number, because the mean of its divisors is an integer number (15540227220).

Almost surely, 2248643634848 is an apocalyptic number.

248643634848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248643634848 is an abundant number, since it is smaller than the sum of its proper divisors (497287271712).

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

248643634848 is a wasteful number, since it uses less digits than its factorization.

248643634848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370005429 (or 370005421 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 60.

The spelling of 248643634848 in words is "two hundred forty-eight billion, six hundred forty-three million, six hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 370005409 740010818 1110016227 1480021636 2220032454 2590037863 2960043272 4440064908 5180075726 5920086544 7770113589 8880129816 10360151452 11840173088 15540227178 17760259632 20720302904 31080454356 35520519264 41440605808 62160908712 82881211616 124321817424 248643634848