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12982620611160 = 23325191898043949
BaseRepresentation
bin1011110011101100000001…
…1111010110001001011000
31200222010102011010002201100
42330323000133112021120
53200201401334024120
643340044503551400
72506651304261304
oct274730037261130
950863364102640
1012982620611160
114155997973722
12155815145b560
137323431bc095
1432c50dbc8d04
15177a93a1d490
hexbcec07d6258

12982620611160 has 96 divisors (see below), whose sum is σ = 44414228430000. Its totient is φ = 3279819942144.

The previous prime is 12982620611131. The next prime is 12982620611183. The reversal of 12982620611160 is 6111602628921.

12982620611160 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 2 + 6 + 20 + 611 + 1 + 6 + 0 = 666.

12982620611160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949015135 + ... + 949028814.

Almost surely, 212982620611160 is an apocalyptic number.

12982620611160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12982620611160 is an abundant number, since it is smaller than the sum of its proper divisors (31431607818840).

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

12982620611160 is a wasteful number, since it uses less digits than its factorization.

12982620611160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898043985 (or 1898043978 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 12982620611160 in words is "twelve trillion, nine hundred eighty-two billion, six hundred twenty million, six hundred eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 1898043949 3796087898 5694131847 7592175796 9490219745 11388263694 15184351592 17082395541 18980439490 22776527388 28470659235 34164791082 36062835031 37960878980 45553054776 56941318470 68329582164 72125670062 75921757960 85411977705 108188505093 113882636940 136659164328 144251340124 170823955410 180314175155 216377010186 227765273880 288502680248 324565515279 341647910820 360628350310 432754020372 540942525465 649131030558 683295821640 721256700620 865508040744 1081885050930 1298262061116 1442513401240 1622827576395 2163770101860 2596524122232 3245655152790 4327540203720 6491310305580 12982620611160