Search a number
-
+
448120466272 = 2531617439967
BaseRepresentation
bin1101000010101100000…
…11111010101101100000
31120211200021201100001101
412201112003322231200
524320222314410042
6541510320444144
744242562054413
oct6412603725540
91524607640041
10448120466272
11163057358996
1272a22779654
1333346b91c1b
1417991035b7a
15b9cb2746b7
hex68560fab60

448120466272 has 96 divisors (see below), whose sum is σ = 926964670464. Its totient is φ = 212969433600.

The previous prime is 448120466251. The next prime is 448120466309. The reversal of 448120466272 is 272664021844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44955433 + ... + 44965399.

It is an arithmetic number, because the mean of its divisors is an integer number (9655881984).

Almost surely, 2448120466272 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 448120466272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463482335232).

448120466272 is an abundant number, since it is smaller than the sum of its proper divisors (478844204192).

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

448120466272 is a wasteful number, since it uses less digits than its factorization.

448120466272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 448120466272 in words is "four hundred forty-eight billion, one hundred twenty million, four hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 61 62 122 124 244 248 488 496 743 976 992 1486 1891 1952 2972 3782 5944 7564 9967 11888 15128 19934 23033 23776 30256 39868 45323 46066 60512 79736 90646 92132 159472 181292 184264 308977 318944 362584 368528 607987 617954 725168 737056 1215974 1235908 1405013 1450336 2431948 2471816 2810026 4863896 4943632 5620052 7405481 9727792 9887264 11240104 14810962 18847597 19455584 22480208 29621924 37695194 44960416 59243848 75390388 118487696 150780776 229569911 236975392 301561552 451734341 459139822 603123104 903468682 918279644 1806937364 1836559288 3613874728 3673118576 7227749456 7346237152 14003764571 14455498912 28007529142 56015058284 112030116568 224060233136 448120466272