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448924216144 = 241719313036563
BaseRepresentation
bin1101000100001011111…
…01111110101101010000
31120220202022010001121011
412202011331332231100
524323344044404034
6542122151540304
744301521606455
oct6420575765520
91526668101534
10448924216144
1116342a020088
127300798a694
1333444558871
1417a29a9982c
15ba26adc864
hex6885f7eb50

448924216144 has 80 divisors (see below), whose sum is σ = 926578230912. Its totient is φ = 209970561024.

The previous prime is 448924216141. The next prime is 448924216183. The reversal of 448924216144 is 441612429844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448924216141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68399007 + ... + 68405569.

Almost surely, 2448924216144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448924216144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463289115456).

448924216144 is an abundant number, since it is smaller than the sum of its proper divisors (477654014768).

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

448924216144 is a wasteful number, since it uses less digits than its factorization.

448924216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8078 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 49.

The spelling of 448924216144 in words is "four hundred forty-eight billion, nine hundred twenty-four million, two hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 193 272 386 772 1303 1544 2606 3088 3281 5212 6562 6563 10424 13124 13126 20848 22151 26248 26252 44302 52496 52504 88604 105008 111571 177208 223142 251479 354416 446284 502958 892568 1005916 1266659 1785136 2011832 2533318 4023664 4275143 5066636 8550286 8551589 10133272 17100572 17103178 20266544 21533203 34201144 34206356 43066406 68402288 68412712 86132812 136825424 145377013 172265624 290754026 344531248 581508052 1163016104 1650456677 2326032208 3300913354 6601826708 13203653416 26407306832 28057763509 56115527018 112231054036 224462108072 448924216144