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12973364841696 = 253737521773039
BaseRepresentation
bin1011110011001001100011…
…0011011000110011100000
31200221020112002202021221220
42330302120303120303200
53200023422344413241
643331514224415040
72506203034445550
oct274623063306340
950836462667856
1012973364841696
114151a78269076
1215563a9777480
137314c975930c
1432bcb2835160
1517770116d166
hexbcc98cd8ce0

12973364841696 has 96 divisors (see below), whose sum is σ = 39971989048320. Its totient is φ = 3606495238656.

The previous prime is 12973364841691. The next prime is 12973364841779. The reversal of 12973364841696 is 69614846337921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12973364841696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973364841691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260861656 + ... + 260911383.

It is an arithmetic number, because the mean of its divisors is an integer number (416374885920).

Almost surely, 212973364841696 is an apocalyptic number.

12973364841696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12973364841696 is an abundant number, since it is smaller than the sum of its proper divisors (26998624206624).

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

12973364841696 is a wasteful number, since it uses less digits than its factorization.

12973364841696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521773096 (or 521773088 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 69.

The spelling of 12973364841696 in words is "twelve trillion, nine hundred seventy-three billion, three hundred sixty-four million, eight hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 521773039 1043546078 1565319117 2087092156 3130638234 3652411273 4174184312 6261276468 7304822546 8348368624 10957233819 12522552936 14609645092 16696737248 19305602443 21914467638 25045105872 29219290184 38611204886 43828935276 50090211744 57916807329 58438580368 77222409772 87657870552 115833614658 116877160736 135139217101 154444819544 175315741104 231667229316 270278434202 308889639088 350631482208 405417651303 463334458632 540556868404 617779278176 810835302606 926668917264 1081113736808 1621670605212 1853337834528 2162227473616 3243341210424 4324454947232 6486682420848 12973364841696