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12940847211792 = 2431767725919041
BaseRepresentation
bin1011110001010000011010…
…0110011110010100010000
31200211010120220002112121210
42330110012212132110100
53144010323341234132
643304535415020120
72503642154243043
oct274240646362420
950733526075553
1012940847211792
11413a20097a475
12155003366a640
1372b4169013a6
1432a4a9caac5a
1517694b4d4bcc
hexbc50699e510

12940847211792 has 160 divisors (see below), whose sum is σ = 35466912543744. Its totient is φ = 4051863961600.

The previous prime is 12940847211769. The next prime is 12940847211811. The reversal of 12940847211792 is 29711274804921.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1431346792 + ... + 1431355832.

Almost surely, 212940847211792 is an apocalyptic number.

12940847211792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12940847211792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733456271872).

12940847211792 is an abundant number, since it is smaller than the sum of its proper divisors (22526065331952).

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

12940847211792 is a wasteful number, since it uses less digits than its factorization.

12940847211792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337 (or 12331 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 12940847211792 in words is "twelve trillion, nine hundred forty billion, eight hundred forty-seven million, two hundred eleven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 677 816 1354 2031 2591 2708 4062 5182 5416 7773 8124 9041 10364 10832 11509 15546 16248 18082 20728 23018 27123 31092 32496 34527 36164 41456 44047 46036 54246 62184 69054 72328 88094 92072 108492 124368 132141 138108 144656 153697 176188 184144 216984 264282 276216 307394 352376 433968 461091 528564 552432 614788 704752 922182 1057128 1229576 1754107 1844364 2114256 2459152 3508214 3688728 5262321 6120757 7016428 7377456 10524642 12241514 14032856 18362271 21049284 23425231 24483028 28065712 29819819 36724542 42098568 46850462 48966056 59639638 70275693 73449084 84197136 89459457 93700924 97932112 104052869 119279276 140551386 146898168 178918914 187401848 208105738 238558552 281102772 293796336 312158607 357837828 374803696 398228927 416211476 477117104 562205544 624317214 715675656 796457854 832422952 1124411088 1194686781 1248634428 1431351312 1592915708 1664845904 2389373562 2497268856 3185831416 4778747124 4994537712 6371662832 9557494248 15858881387 19114988496 31717762774 47576644161 63435525548 95153288322 126871051096 190306576644 253742102192 269600983579 380613153288 539201967158 761226306576 808802950737 1078403934316 1617605901474 2156807868632 3235211802948 4313615737264 6470423605896 12940847211792