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85511421400 = 23522114494513
BaseRepresentation
bin100111110100011100…
…0001011110111011000
322011201102211021211111
41033220320023313120
52400111410441100
6103141114310104
76115024042366
oct1175070136730
9264642737744
1085511421400
11332a0a715a9
12146a5728334
1380a9c17302
1441d2b26636
1523572976ba
hex13e8e0bdd8

85511421400 has 96 divisors (see below), whose sum is σ = 200245554000. Its totient is φ = 33959116800.

The previous prime is 85511421397. The next prime is 85511421403. The reversal of 85511421400 is 412411558.

It is an interprime number because it is at equal distance from previous prime (85511421397) and next prime (85511421403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85511421403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18945544 + ... + 18950056.

Almost surely, 285511421400 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 85511421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100122777000).

85511421400 is an abundant number, since it is smaller than the sum of its proper divisors (114734132600).

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

85511421400 is a wasteful number, since it uses less digits than its factorization.

85511421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

Adding to 85511421400 its reverse (412411558), we get a palindrome (85923832958).

The spelling of 85511421400 in words is "eighty-five billion, five hundred eleven million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 449 844 898 1055 1688 1796 2110 2245 3592 4220 4490 4513 5275 8440 8980 9026 10550 11225 17960 18052 21100 22450 22565 36104 42200 44900 45130 89800 90260 94739 112825 180520 189478 225650 378956 451300 473695 757912 902600 947390 952243 1894780 1904486 2026337 2368475 3789560 3808972 4052674 4736950 4761215 7617944 8105348 9473900 9522430 10131685 16210696 18947800 19044860 20263370 23806075 38089720 40526740 47612150 50658425 81053480 95224300 101316850 190448600 202633700 405267400 427557107 855114214 1710228428 2137785535 3420456856 4275571070 8551142140 10688927675 17102284280 21377855350 42755710700 85511421400