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1082656220352 = 26371053176493
BaseRepresentation
bin11111100000100110101…
…01101110010011000000
310211111112011200110210120
433300103111232103000
5120214234443022402
62145210532100240
7141135142014210
oct17602325562300
93744464613716
101082656220352
11388174236703
121559ab464680
137b12b7c9075
143a587c9a240
151d26801d3bc
hexfc1356e4c0

1082656220352 has 112 divisors (see below), whose sum is σ = 3274099859712. Its totient is φ = 309296931840.

The previous prime is 1082656220341. The next prime is 1082656220353. The reversal of 1082656220352 is 2530226562801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1082656220353) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14115418 + ... + 14191910.

Almost surely, 21082656220352 is an apocalyptic number.

1082656220352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1082656220352 is an abundant number, since it is smaller than the sum of its proper divisors (2191443639360).

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

1082656220352 is a wasteful number, since it uses less digits than its factorization.

1082656220352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87046 (or 87036 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 1082656220352 in words is "one trillion, eighty-two billion, six hundred fifty-six million, two hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10531 21062 31593 42124 63186 73717 76493 84248 126372 147434 152986 168496 221151 229479 252744 294868 305972 336992 442302 458958 505488 535451 589736 611944 673984 884604 917916 1010976 1070902 1179472 1223888 1606353 1769208 1835832 2021952 2141804 2358944 2447776 3212706 3538416 3671664 4283608 4717888 4895552 6425412 7076832 7343328 8567216 12850824 14153664 14686656 17134432 25701648 34268864 51403296 102806592 805547783 1611095566 2416643349 3222191132 4833286698 5638834481 6444382264 9666573396 11277668962 12888764528 16916503443 19333146792 22555337924 25777529056 33833006886 38666293584 45110675848 51555058112 67666013772 77332587168 90221351696 135332027544 154665174336 180442703392 270664055088 360885406784 541328110176 1082656220352