Search a number
-
+
1082233556448 = 253118271239229
BaseRepresentation
bin11111011111110100010…
…01011000110111100000
310211110102201100220220220
433233322021120313200
5120212403242301243
62145100553003040
7141121520310012
oct17577211306740
93743381326826
101082233556448
11387a776a0aa0
121558b19b3480
137b092080995
143a547ab61b2
151d240d7e783
hexfbfa258de0

1082233556448 has 96 divisors (see below), whose sum is σ = 3102873298560. Its totient is φ = 327552744960.

The previous prime is 1082233556351. The next prime is 1082233556461. The reversal of 1082233556448 is 8446553322801.

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 1082233556448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253698 + ... + 1492926.

It is an arithmetic number, because the mean of its divisors is an integer number (32321596860).

Almost surely, 21082233556448 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 1082233556448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551436649280).

1082233556448 is an abundant number, since it is smaller than the sum of its proper divisors (2020639742112).

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

1082233556448 is a wasteful number, since it uses less digits than its factorization.

1082233556448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240080 (or 1240072 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 1082233556448 in words is "one trillion, eighty-two billion, two hundred thirty-three million, five hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 827 1056 1654 2481 3308 4962 6616 9097 9924 13232 18194 19848 26464 27291 36388 39696 54582 72776 79392 109164 145552 218328 291104 436656 873312 1239229 2478458 3717687 4956916 7435374 9913832 13631519 14870748 19827664 27263038 29741496 39655328 40894557 54526076 59482992 81789114 109052152 118965984 163578228 218104304 327156456 436208608 654312912 1024842383 1308625824 2049684766 3074527149 4099369532 6149054298 8198739064 11273266213 12298108596 16397478128 22546532426 24596217192 32794956256 33819798639 45093064852 49192434384 67639597278 90186129704 98384868768 135279194556 180372259408 270558389112 360744518816 541116778224 1082233556448