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12956561819700 = 22352192273081021
BaseRepresentation
bin1011110010001010111101…
…0000111100100000110100
31200212122011001220100001220
42330202233100330200310
53144240014311212300
643320055021350340
72505036452224332
oct274425720744064
950778131810056
1012956561819700
114145935408a34
12155309a4083b0
1372ca4c502855
1432b15ad8cb52
1517706ae04da0
hexbc8af43c834

12956561819700 has 72 divisors (see below), whose sum is σ = 39460686541920. Its totient is φ = 3273236668800.

The previous prime is 12956561819689. The next prime is 12956561819701. The reversal of 12956561819700 is 791816565921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12956561819701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1136534811 + ... + 1136546210.

It is an arithmetic number, because the mean of its divisors is an integer number (548065090860).

Almost surely, 212956561819700 is an apocalyptic number.

12956561819700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12956561819700 is an abundant number, since it is smaller than the sum of its proper divisors (26504124722220).

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

12956561819700 is a wasteful number, since it uses less digits than its factorization.

12956561819700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273081057 (or 2273081050 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 60.

The spelling of 12956561819700 in words is "twelve trillion, nine hundred fifty-six billion, five hundred sixty-one million, eight hundred nineteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 2273081021 4546162042 6819243063 9092324084 11365405105 13638486126 22730810210 27276972252 34096215315 43188539399 45461620420 56827025525 68192430630 86377078798 113654051050 129565618197 136384861260 170481076575 172754157596 215942696995 227308102100 259131236394 340962153150 431885393990 518262472788 647828090985 681924306300 863770787980 1079713484975 1295656181970 2159426969950 2591312363940 3239140454925 4318853939900 6478280909850 12956561819700