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1087429134096 = 243253148795819
BaseRepresentation
bin11111101001011111101…
…00111100011100010000
310211221211210202121120200
433310233310330130100
5120304023324242341
62151320312135200
7141364336062504
oct17645764743420
93757753677520
101087429134096
1138a1a3440418
12156901997500
137b70c5a8996
143a8bbb28304
151d447069db6
hexfd2fd3c710

1087429134096 has 120 divisors (see below), whose sum is σ = 3102829441920. Its totient is φ = 355394327808.

The previous prime is 1087429134091. The next prime is 1087429134151. The reversal of 1087429134096 is 6904319247801.

1087429134096 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 291 + 340 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1087429134091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11300875 + ... + 11396693.

It is an arithmetic number, because the mean of its divisors is an integer number (25856912016).

Almost surely, 21087429134096 is an apocalyptic number.

1087429134096 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 1087429134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551414720960).

1087429134096 is an abundant number, since it is smaller than the sum of its proper divisors (2015400307824).

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

1087429134096 is a wasteful number, since it uses less digits than its factorization.

1087429134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97373 (or 97364 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1087429134096 in words is "one trillion, eighty-seven billion, four hundred twenty-nine million, one hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1487 1908 2544 2974 3816 4461 5948 7632 8922 11896 13383 17844 23792 26766 35688 53532 71376 78811 95819 107064 157622 191638 214128 236433 287457 315244 383276 472866 574914 630488 709299 766552 862371 945732 1149828 1260976 1418598 1533104 1724742 1891464 2299656 2837196 3449484 3782928 4599312 5078407 5674392 6898968 10156814 11348784 13797936 15235221 20313628 30470442 40627256 45705663 60940884 81254512 91411326 121881768 142482853 182822652 243763536 284965706 365645304 427448559 569931412 731290608 854897118 1139862824 1282345677 1709794236 2279725648 2564691354 3419588472 5129382708 6839176944 7551591209 10258765416 15103182418 20517530832 22654773627 30206364836 45309547254 60412729672 67964320881 90619094508 120825459344 135928641762 181238189016 271857283524 362476378032 543714567048 1087429134096