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335135320000 = 265413644491
BaseRepresentation
bin1001110000001111001…
…11110010011111000000
31012001001011020012211021
410320013213302133000
520442324120220000
6413543052555224
733132652134535
oct4700747623700
91161034205737
10335135320000
1111a148173248
1254b50182b14
13257ac0b16a0
14123135d4d8c
158ab706e11a
hex4e079f27c0

335135320000 has 140 divisors (see below), whose sum is σ = 894953192056. Its totient is φ = 123742080000.

The previous prime is 335135319997. The next prime is 335135320031. The reversal of 335135320000 is 23531533.

It is a happy number.

It is a super-2 number, since 2×3351353200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 197755 + ... + 842245.

Almost surely, 2335135320000 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 335135320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447476596028).

335135320000 is an abundant number, since it is smaller than the sum of its proper divisors (559817872056).

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

335135320000 is an equidigital number, since it uses as much as digits as its factorization.

335135320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644536 (or 644511 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

Adding to 335135320000 its reverse (23531533), we get a palindrome (335158851533).

The spelling of 335135320000 in words is "three hundred thirty-five billion, one hundred thirty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 130000 260000 520000 644491 1288982 2577964 3222455 5155928 6444910 8378383 10311856 12889820 16112275 16756766 20623712 25779640 32224550 33513532 41247424 41891915 51559280 64449100 67027064 80561375 83783830 103118560 128898200 134054128 161122750 167567660 206237120 209459575 257796400 268108256 322245500 335135320 402806875 418919150 515592800 536216512 644491000 670270640 805613750 837838300 1031185600 1047297875 1288982000 1340541280 1611227500 1675676600 2094595750 2577964000 2681082560 3222455000 3351353200 4189191500 5155928000 5236489375 6444910000 6702706400 8378383000 10472978750 12889820000 13405412800 16756766000 20945957500 25779640000 33513532000 41891915000 67027064000 83783830000 167567660000 335135320000