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12445960441680 = 243355762018723
BaseRepresentation
bin1011010100011100110100…
…0011010000111101010000
31122001211012101022211011000
42311013031003100331100
53112403311333113210
642245332330022000
72423122334144223
oct265071503207520
948054171284130
1012445960441680
113a693362272a7
12149013ab77900
136c3858c0873c
1431055dbc15ba
15168b34722ac0
hexb51cd0d0f50

12445960441680 has 80 divisors (see below), whose sum is σ = 42869419306560. Its totient is φ = 3318922783872.

The previous prime is 12445960441657. The next prime is 12445960441703. The reversal of 12445960441680 is 8614406954421.

12445960441680 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 596 + 0 + 4 + 41 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12445960441657) and next prime (12445960441703).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2881007202 + ... + 2881011521.

It is an arithmetic number, because the mean of its divisors is an integer number (535867741332).

Almost surely, 212445960441680 is an apocalyptic number.

12445960441680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12445960441680 is an abundant number, since it is smaller than the sum of its proper divisors (30423458864880).

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

12445960441680 is a wasteful number, since it uses less digits than its factorization.

12445960441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762018745 (or 5762018733 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 12445960441680 in words is "twelve trillion, four hundred forty-five billion, nine hundred sixty million, four hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5762018723 11524037446 17286056169 23048074892 28810093615 34572112338 46096149784 51858168507 57620187230 69144224676 86430280845 92192299568 103716337014 115240374460 138288449352 155574505521 172860561690 207432674028 230480748920 259290842535 276576898704 311149011042 345721123380 414865348056 460961497840 518581685070 622298022084 691442246760 777872527605 829730696112 1037163370140 1244596044168 1382884493520 1555745055210 2074326740280 2489192088336 3111490110420 4148653480560 6222980220840 12445960441680