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12048430882048 = 28118351548941
BaseRepresentation
bin1010111101010011111001…
…1100010101110100000000
31120122211002212022211020121
42233110332130111310000
53034400141301211143
641342550035550024
72352320230506241
oct257247634256400
946584085284217
1012048430882048
113925790149360
12142709715b314
1369521534a142
142d920bb76cc8
1515d619b667ed
hexaf53e715d00

12048430882048 has 72 divisors (see below), whose sum is σ = 26552241436896. Its totient is φ = 5410576742400.

The previous prime is 12048430882013. The next prime is 12048430882073. The reversal of 12048430882048 is 84028803484021.

12048430882048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12048430881986 and 12048430882004.

It is a congruent 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, 25540743 + ... + 26008198.

It is an arithmetic number, because the mean of its divisors is an integer number (368781131068).

Almost surely, 212048430882048 is an apocalyptic number.

It is an amenable number.

12048430882048 is an abundant number, since it is smaller than the sum of its proper divisors (14503810554848).

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

12048430882048 is an equidigital number, since it uses as much as digits as its factorization.

12048430882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51549051 (or 51549037 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 52.

The spelling of 12048430882048 in words is "twelve trillion, forty-eight billion, four hundred thirty million, eight hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 176 256 332 352 664 704 913 1328 1408 1826 2656 2816 3652 5312 7304 10624 14608 21248 29216 58432 116864 233728 51548941 103097882 206195764 412391528 567038351 824783056 1134076702 1649566112 2268153404 3299132224 4278562103 4536306808 6598264448 8557124206 9072613616 13196528896 17114248412 18145227232 34228496824 36290454464 47064183133 68456993648 72580908928 94128366266 136913987296 145161817856 188256732532 273827974592 376513465064 547655949184 753026930128 1095311898368 1506053860256 3012107720512 6024215441024 12048430882048