Search a number
-
+
26808690470976 = 26346917483979
BaseRepresentation
bin1100001100001111000100…
…11110001111000001000000
310111220212220201210110120000
412012013202132033001000
512003213144230032401
6133003424204320000
75434602225101151
oct606074236170100
9114825821713500
1026808690470976
1185a65579626a7
12300b854243000
1311c6082bb72cb
14689794653928
1531755004a186
hex1861e278f040

26808690470976 has 140 divisors (see below), whose sum is σ = 79584373896720. Its totient is φ = 8923296648960.

The previous prime is 26808690470971. The next prime is 26808690470999. The reversal of 26808690470976 is 67907409680862.

26808690470976 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 8 + 69 + 0 + 470 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26808690470971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159846 + ... + 7324133.

It is an arithmetic number, because the mean of its divisors is an integer number (568459813548).

Almost surely, 226808690470976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26808690470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39792186948360).

26808690470976 is an abundant number, since it is smaller than the sum of its proper divisors (52775683425744).

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

26808690470976 is an equidigital number, since it uses as much as digits as its factorization.

26808690470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484694 (or 7484675 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 26808690470976 in words is "twenty-six trillion, eight hundred eight billion, six hundred ninety million, four hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 691 864 1296 1382 1728 2073 2592 2764 4146 5184 5528 6219 8292 11056 12438 16584 18657 22112 24876 33168 37314 44224 49752 55971 66336 74628 99504 111942 132672 149256 199008 223884 298512 398016 447768 597024 895536 1194048 1791072 3582144 7483979 14967958 22451937 29935916 44903874 59871832 67355811 89807748 119743664 134711622 179615496 202067433 239487328 269423244 359230992 404134866 478974656 538846488 606202299 718461984 808269732 1077692976 1212404598 1436923968 1616539464 2155385952 2424809196 3233078928 4310771904 4849618392 5171429489 6466157856 9699236784 10342858978 12932315712 15514288467 19398473568 20685717956 31028576934 38796947136 41371435912 46542865401 62057153868 82742871824 93085730802 124114307736 139628596203 165485743648 186171461604 248228615472 279257192406 330971487296 372342923208 418885788609 496457230944 558514384812 744685846416 837771577218 992914461888 1117028769624 1489371692832 1675543154436 2234057539248 2978743385664 3351086308872 4468115078496 6702172617744 8936230156992 13404345235488 26808690470976