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449226408920 = 23571212974297
BaseRepresentation
bin1101000100101111111…
…10110000001111011000
31120221112100202001011012
412202113332300033120
524330003430041140
6542212144553052
744312151321122
oct6422776601730
91527470661135
10449226408920
11163574661a83
1273091022788
1333492043763
1417a57c80212
15ba433d1265
hex6897fb03d8

449226408920 has 64 divisors (see below), whose sum is σ = 1025490715200. Its totient is φ = 177074114560.

The previous prime is 449226408913. The next prime is 449226408923. The reversal of 449226408920 is 29804622944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449226408923) 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, 6009212 + ... + 6083508.

It is an arithmetic number, because the mean of its divisors is an integer number (16023292425).

Almost surely, 2449226408920 is an apocalyptic number.

449226408920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449226408920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512745357600).

449226408920 is an abundant number, since it is smaller than the sum of its proper divisors (576264306280).

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

449226408920 is a wasteful number, since it uses less digits than its factorization.

449226408920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76508 (or 76504 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 449226408920 in words is "four hundred forty-nine billion, two hundred twenty-six million, four hundred eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2129 2840 4258 8516 10645 17032 21290 42580 74297 85160 148594 151159 297188 302318 371485 594376 604636 742970 755795 1209272 1485940 1511590 2971880 3023180 5275087 6046360 10550174 21100348 26375435 42200696 52750870 105501740 158178313 211003480 316356626 632713252 790891565 1265426504 1581783130 3163566260 6327132520 11230660223 22461320446 44922640892 56153301115 89845281784 112306602230 224613204460 449226408920