Search a number
-
+
11948934412448 = 2511307110572757
BaseRepresentation
bin1010110111100001001111…
…1111011011100010100000
31120022022021210011110211222
42231320103333123202200
53031232404202144243
641225133101154212
72342165506460345
oct255702377334240
946268253143758
1011948934412448
113897572a71090
12140b949b5b968
13688a19c5a6a7
142d448d94a7cc
1515ac44c41168
hexade13fdb8a0

11948934412448 has 48 divisors (see below), whose sum is σ = 25746645554784. Its totient is φ = 5413642133760.

The previous prime is 11948934412417. The next prime is 11948934412483. The reversal of 11948934412448 is 84421443984911.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55178315 + ... + 55394442.

It is an arithmetic number, because the mean of its divisors is an integer number (536388449058).

Almost surely, 211948934412448 is an apocalyptic number.

It is an amenable number.

11948934412448 is an abundant number, since it is smaller than the sum of its proper divisors (13797711142336).

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

11948934412448 is a wasteful number, since it uses less digits than its factorization.

11948934412448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110573085 (or 110573077 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 62.

The spelling of 11948934412448 in words is "eleven trillion, nine hundred forty-eight billion, nine hundred thirty-four million, four hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 307 352 614 1228 2456 3377 4912 6754 9824 13508 27016 54032 108064 110572757 221145514 442291028 884582056 1216300327 1769164112 2432600654 3538328224 4865201308 9730402616 19460805232 33945836399 38921610464 67891672798 135783345596 271566691192 373404200389 543133382384 746808400778 1086266764768 1493616801556 2987233603112 5974467206224 11948934412448