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1087303807744 = 28711103535529
BaseRepresentation
bin11111101001010000101…
…10110111001100000000
310211221112001221101010221
433310220112313030000
5120303244233321434
62151300034032424
7141361254605530
oct17645026671400
93757461841127
101087303807744
1138a139720920
12156887a18714
137b6bc63858b
143a8a92234c0
151d43b0612b4
hexfd285b7300

1087303807744 has 144 divisors (see below), whose sum is σ = 2732179806720. Its totient is φ = 419511214080.

The previous prime is 1087303807739. The next prime is 1087303807753. The reversal of 1087303807744 is 4477083037801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1087303807691 and 1087303807700.

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 15 ways as a sum of consecutive naturals, for example, 1762572 + ... + 2298100.

It is an arithmetic number, because the mean of its divisors is an integer number (18973470880).

Almost surely, 21087303807744 is an apocalyptic number.

1087303807744 is a gapful number since it is divisible by the number (14) 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 1087303807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366089903360).

1087303807744 is an abundant number, since it is smaller than the sum of its proper divisors (1644875998976).

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

1087303807744 is a wasteful number, since it uses less digits than its factorization.

1087303807744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535666 (or 535652 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 52.

The spelling of 1087303807744 in words is "one trillion, eighty-seven billion, three hundred three million, eight hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 103 112 128 154 176 206 224 256 308 352 412 448 616 704 721 824 896 1133 1232 1408 1442 1648 1792 2266 2464 2816 2884 3296 4532 4928 5768 6592 7931 9064 9856 11536 13184 15862 18128 19712 23072 26368 31724 36256 46144 63448 72512 92288 126896 145024 184576 253792 290048 507584 535529 1015168 1071058 2030336 2142116 3748703 4284232 5890819 7497406 8568464 11781638 14994812 17136928 23563276 29989624 34273856 41235733 47126552 55159487 59979248 68547712 82471466 94253104 110318974 119958496 137095424 164942932 188506208 220637948 239916992 329885864 377012416 386116409 441275896 479833984 606754357 659771728 754024832 772232818 882551792 959667968 1213508714 1319543456 1508049664 1544465636 1765103584 2427017428 2639086912 3088931272 3530207168 4247280499 4854034856 5278173824 6177862544 7060414336 8494560998 9708069712 10556347648 12355725088 14120828672 16989121996 19416139424 24711450176 33978243992 38832278848 49422900352 67956487984 77664557696 98845800704 135912975968 155329115392 271825951936 543651903872 1087303807744