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12325551354450 = 23252231190874527
BaseRepresentation
bin1011001101011100010000…
…0111000011001001010010
31121122022101212101102110200
42303113010013003021102
53103420212121320300
642114140301240030
72411330436611535
oct263270407031122
947568355342420
1012325551354450
113a2226745a964
121470936263016
136b53aa04a829
143087ba3caa1c
151659388b1200
hexb35c41c3252

12325551354450 has 72 divisors (see below), whose sum is σ = 34554415304448. Its totient is φ = 3143908748640.

The previous prime is 12325551354449. The next prime is 12325551354451. The reversal of 12325551354450 is 5445315552321.

12325551354450 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 5 + 5 + 51 + 3 + 544 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (12325551354449) and next prime (12325551354451).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12325551354396 and 12325551354405.

It is not an unprimeable number, because it can be changed into a prime (12325551354451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 595426914 + ... + 595447613.

It is an arithmetic number, because the mean of its divisors is an integer number (479922434784).

Almost surely, 212325551354450 is an apocalyptic number.

12325551354450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12325551354450 is an abundant number, since it is smaller than the sum of its proper divisors (22228863949998).

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

12325551354450 is a wasteful number, since it uses less digits than its factorization.

12325551354450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190874568 (or 1190874560 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 12325551354450 in words is "twelve trillion, three hundred twenty-five billion, five hundred fifty-one million, three hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 1190874527 2381749054 3572623581 5954372635 7145247162 10717870743 11908745270 17863117905 21435741486 27390114121 29771863175 35726235810 53589353715 54780228242 59543726350 82170342363 89315589525 107178707430 136950570605 164340684726 178631179050 246511027089 267946768575 273901141210 410851711815 493022054178 535893537150 684752853025 821703423630 1232555135445 1369505706050 2054258559075 2465110270890 4108517118150 6162775677225 12325551354450