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1087297671936 = 2837353957149
BaseRepresentation
bin11111101001001111111…
…11011101001100000000
310211221111122101122101210
433310213333131030000
5120303241201000221
62151255254330120
7141361151502060
oct17644777351400
93757448348353
101087297671936
1138a13620aa03
12156885959940
137b6bb29a818
143a8a84a73a0
151d43a74d276
hexfd27fdd300

1087297671936 has 144 divisors (see below), whose sum is σ = 3308189472000. Its totient is φ = 310563262464.

The previous prime is 1087297671917. The next prime is 1087297671991. The reversal of 1087297671936 is 6391767927801.

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, 18997090 + ... + 19054238.

It is an arithmetic number, because the mean of its divisors is an integer number (22973538000).

Almost surely, 21087297671936 is an apocalyptic number.

1087297671936 is a gapful number since it is divisible by the number (16) 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 1087297671936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654094736000).

1087297671936 is an abundant number, since it is smaller than the sum of its proper divisors (2220891800064).

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

1087297671936 is an equidigital number, since it uses as much as digits as its factorization.

1087297671936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60714 (or 60700 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 66.

The spelling of 1087297671936 in words is "one trillion, eighty-seven billion, two hundred ninety-seven million, six hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3539 5376 7078 10617 14156 21234 24773 28312 42468 49546 56624 57149 74319 84936 99092 113248 114298 148638 169872 171447 198184 226496 228596 297276 339744 342894 396368 400043 452992 457192 594552 679488 685788 792736 800086 905984 914384 1189104 1200129 1358976 1371576 1585472 1600172 1828768 2378208 2400258 2717952 2743152 3170944 3200344 3657536 4756416 4800516 5486304 6341888 6400688 7315072 9512832 9601032 10972608 12801376 14630144 19025664 19202064 21945216 25602752 38404128 43890432 51205504 76808256 102411008 153616512 202250311 307233024 404500622 606750933 809001244 1213501866 1415752177 1618002488 2427003732 2831504354 3236004976 4247256531 4854007464 5663008708 6472009952 8494513062 9708014928 11326017416 12944019904 16989026124 19416029856 22652034832 25888039808 33978052248 38832059712 45304069664 51776079616 67956104496 77664119424 90608139328 135912208992 155328238848 181216278656 271824417984 362432557312 543648835968 1087297671936