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12325353731712 = 27337509480561
BaseRepresentation
bin1011001101011011100001…
…0101001011011010000000
31121122021220002112011001000
42303112320111023122000
53103414311023403322
642114104521412000
72411322520055130
oct263267025133200
947567802464030
1012325353731712
113a22175950a8a
1214708a003a000
136b53781165b8
1430879c066ac0
151659263763ac
hexb35b854b680

12325353731712 has 128 divisors (see below), whose sum is σ = 41573613859200. Its totient is φ = 3521529630720.

The previous prime is 12325353731701. The next prime is 12325353731731. The reversal of 12325353731712 is 21713735352321.

12325353731712 is a `hidden beast` number, since 1 + 2 + 3 + 253 + 5 + 373 + 17 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×123253537317122 (a number of 27 digits) contains 22 as substring.

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, 254716089 + ... + 254764472.

It is an arithmetic number, because the mean of its divisors is an integer number (324793858275).

Almost surely, 212325353731712 is an apocalyptic number.

12325353731712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12325353731712 is an abundant number, since it is smaller than the sum of its proper divisors (29248260127488).

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

12325353731712 is an equidigital number, since it uses as much as digits as its factorization.

12325353731712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509480591 (or 509480573 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The spelling of 12325353731712 in words is "twelve trillion, three hundred twenty-five billion, three hundred fifty-three million, seven hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 509480561 1018961122 1528441683 2037922244 3056883366 3566363927 4075844488 4585325049 6113766732 7132727854 8151688976 9170650098 10699091781 12227533464 13755975147 14265455708 16303377952 18341300196 21398183562 24455066928 27511950294 28530911416 32097275343 32606755904 36682600392 42796367124 48910133856 55023900588 57061822832 64194550686 65213511808 73365200784 85592734248 96291826029 97820267712 110047801176 114123645664 128389101372 146730401568 171185468496 192583652058 195640535424 220095602352 228247291328 256778202744 293460803136 342370936992 385167304116 440191204704 456494582656 513556405488 586921606272 684741873984 770334608232 880382409408 1027112810976 1369483747968 1540669216464 1760764818816 2054225621952 3081338432928 4108451243904 6162676865856 12325353731712