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12324546303056 = 2413318179233693
BaseRepresentation
bin1011001101011000100000…
…1101000101010001010000
31121122012210211012112010222
42303112020031011101100
53103411132323144211
642113452435412212
72411263514041541
oct263261015052120
947565724175128
1012324546303056
113a218a10a6979
1214706b5754068
136b5279a62370
14308722b264c8
151658ca5331db
hexb3588345450

12324546303056 has 80 divisors (see below), whose sum is σ = 26548535784960. Its totient is φ = 5504063546880.

The previous prime is 12324546303037. The next prime is 12324546303131. The reversal of 12324546303056 is 65030364542321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12324546302998 and 12324546303016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52621346 + ... + 52855038.

It is an arithmetic number, because the mean of its divisors is an integer number (331856697312).

Almost surely, 212324546303056 is an apocalyptic number.

12324546303056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12324546303056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274267892480).

12324546303056 is an abundant number, since it is smaller than the sum of its proper divisors (14223989481904).

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

12324546303056 is a wasteful number, since it uses less digits than its factorization.

12324546303056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241924 (or 241918 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 12324546303056 in words is "twelve trillion, three hundred twenty-four billion, five hundred forty-six million, three hundred three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 8179 16358 32716 65432 106327 130864 212654 233693 253549 425308 467386 507098 850616 934772 1014196 1701232 1869544 2028392 3038009 3296137 3739088 4056784 6076018 6592274 7244483 12152036 13184548 14488966 24304072 26369096 28977932 48608144 52738192 57955864 94178279 115911728 188356558 376713116 753426232 1506852464 1911375047 3822750094 7645500188 15291000376 24847875611 30582000752 49695751222 59252626457 99391502444 118505252914 198783004888 237010505828 397566009776 474021011656 770284143941 948042023312 1540568287882 3081136575764 6162273151528 12324546303056