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447096228228 = 223313237662047
BaseRepresentation
bin1101000000110010000…
…00110000100110000100
31120202000220102122121000
412200121000300212010
524311123113300403
6541220531453300
744205314143566
oct6403100604604
91522026378530
10447096228228
1116268118a771
1272797757230
1333212919600
14178d4db9336
15b96b3a67a3
hex6819030984

447096228228 has 144 divisors (see below), whose sum is σ = 1289086901760. Its totient is φ = 133849812096.

The previous prime is 447096228221. The next prime is 447096228253. The reversal of 447096228228 is 822822690744.

447096228228 is a `hidden beast` number, since 4 + 4 + 7 + 0 + 9 + 622 + 8 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (447096228221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344301 + ... + 1006347.

Almost surely, 2447096228228 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 447096228228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644543450880).

447096228228 is an abundant number, since it is smaller than the sum of its proper divisors (841990673532).

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

447096228228 is a wasteful number, since it uses less digits than its factorization.

447096228228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662123 (or 662102 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 447096228228 in words is "four hundred forty-seven billion, ninety-six million, two hundred twenty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 169 222 234 333 338 351 444 468 481 507 666 676 702 962 999 1014 1332 1404 1443 1521 1924 1998 2028 2886 3042 3996 4329 4563 5772 6084 6253 8658 9126 12506 12987 17316 18252 18759 25012 25974 37518 51948 56277 75036 112554 168831 225108 337662 662047 675324 1324094 1986141 2648188 3972282 5958423 7944564 8606611 11916846 17213222 17875269 23833692 24495739 25819833 34426444 35750538 48991478 51639666 71501076 73487217 77459499 97982956 103279332 111885943 146974434 154918998 220461651 223771886 232378497 293948868 309837996 318444607 335657829 440923302 447543772 464756994 636889214 661384953 671315658 881846604 929513988 955333821 1006973487 1273778428 1322769906 1342631316 1910667642 2013946974 2645539812 2866001463 3020920461 3821335284 4027893948 4139779891 5732002926 6041840922 8279559782 8598004389 11464005852 12083681844 12419339673 16559119564 17196008778 24838679346 34392017556 37258019019 49677358692 74516038038 111774057057 149032076076 223548114114 447096228228