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42448846248 = 2332631193419
BaseRepresentation
bin100111100010001001…
…011111110110101000
311001120022222211000200
4213202021133312220
51143413401034443
631300054032200
73031631145144
oct474211376650
9131508884020
1042448846248
11170032a3516
128288048660
134006511403
1420a9904224
1511869aadd3
hex9e225fda8

42448846248 has 48 divisors (see below), whose sum is σ = 114985072800. Its totient is φ = 14147221920.

The previous prime is 42448846211. The next prime is 42448846249. The reversal of 42448846248 is 84264884424.

42448846248 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 8 + 8 + 4 + 624 + 8 = 666.

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 = 42448846194 and 42448846203.

It is not an unprimeable number, because it can be changed into a prime (42448846249) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 407683 + ... + 501101.

It is an arithmetic number, because the mean of its divisors is an integer number (2395522350).

Almost surely, 242448846248 is an apocalyptic number.

It is an amenable number.

42448846248 is an abundant number, since it is smaller than the sum of its proper divisors (72536226552).

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

42448846248 is a wasteful number, since it uses less digits than its factorization.

42448846248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99742 (or 99735 counting only the distinct ones).

The product of its digits is 12582912, while the sum is 54.

The spelling of 42448846248 in words is "forty-two billion, four hundred forty-eight million, eight hundred forty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6311 12622 18933 25244 37866 50488 56799 75732 93419 113598 151464 186838 227196 280257 373676 454392 560514 747352 840771 1121028 1681542 2242056 3363084 6726168 589567309 1179134618 1768701927 2358269236 3537403854 4716538472 5306105781 7074807708 10612211562 14149615416 21224423124 42448846248