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2448064377 = 37113292
BaseRepresentation
bin1001000111101010…
…0111111101111001
320022121110120000000
42101322213331321
520003201030002
61042530303213
7114444126633
oct22172477571
96277416000
102448064377
111046961000
12583a27b09
13300247005
141931b1a53
15e4dbc61c
hex91ea7f79

2448064377 has 96 divisors (see below), whose sum is σ = 4182472320. Its totient is φ = 1432514160.

The previous prime is 2448064343. The next prime is 2448064391. The reversal of 2448064377 is 7734608442.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 2448064377 - 27 = 2448064249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2448064477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84415999 + ... + 84416027.

It is an arithmetic number, because the mean of its divisors is an integer number (43567420).

Almost surely, 22448064377 is an apocalyptic number.

2448064377 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2448064377 is a deficient number, since it is larger than the sum of its proper divisors (1734407943).

2448064377 is an frugal number, since it uses more digits than its factorization.

2448064377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 2448064377 is about 49477.9180746320. The cubic root of 2448064377 is about 1347.7446341909.

The spelling of 2448064377 in words is "two billion, four hundred forty-eight million, sixty-four thousand, three hundred seventy-seven".

Divisors: 1 3 9 11 27 29 33 81 87 99 121 243 261 297 319 363 729 783 841 891 957 1089 1331 2187 2349 2523 2673 2871 3267 3509 3993 7047 7569 8019 8613 9251 9801 10527 11979 21141 22707 24057 25839 27753 29403 31581 35937 38599 63423 68121 77517 83259 88209 94743 101761 107811 115797 204363 232551 249777 264627 284229 305283 323433 347391 613089 697653 749331 852687 915849 970299 1042173 1119371 1839267 2247993 2558061 2747547 2910897 3126519 3358113 6743979 7674183 8242641 9379557 10074339 20231937 24727923 28138671 30223017 74183769 84416013 90669051 222551307 272007153 816021459 2448064377