Search a number
-
+
3310035320436 = 22313531495126777
BaseRepresentation
bin110000001010101101011…
…110101011111001110100
3102201102210001102101211220
4300022231132223321310
5413212423020223221
611012335332230340
7461066521666425
oct60125536537164
912642701371756
103310035320436
111066861711829
1245561016b3b0
131b019a764830
14b62c6b5364c
155b17ce3b0c6
hex302ad7abe74

3310035320436 has 96 divisors (see below), whose sum is σ = 8475342398208. Its totient is φ = 999151795200.

The previous prime is 3310035320429. The next prime is 3310035320443. The reversal of 3310035320436 is 6340235300133.

It is an interprime number because it is at equal distance from previous prime (3310035320429) and next prime (3310035320443).

It is a junction number, because it is equal to n+sod(n) for n = 3310035320397 and 3310035320406.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 123601480 + ... + 123628256.

It is an arithmetic number, because the mean of its divisors is an integer number (88284816648).

Almost surely, 23310035320436 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 3310035320436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237671199104).

3310035320436 is an abundant number, since it is smaller than the sum of its proper divisors (5165307077772).

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

3310035320436 is a wasteful number, since it uses less digits than its factorization.

3310035320436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41801 (or 41799 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 33.

The spelling of 3310035320436 in words is "three trillion, three hundred ten billion, thirty-five million, three hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4134 8268 14951 26777 29902 44853 53554 59804 80331 89706 107108 160662 179412 194363 321324 348101 388726 583089 696202 777452 792403 1044303 1166178 1392404 1419181 1584806 2088606 2332356 2377209 2838362 3169612 4177212 4257543 4754418 5676724 8515086 9508836 10301239 17030172 18449353 20602478 30903717 36898706 41204956 55348059 61807434 73797412 110696118 123614868 221392236 400342927 800685854 1201028781 1601371708 2402057562 4804115124 5204458051 10408916102 15613374153 20817832204 21218175131 31226748306 42436350262 62453496612 63654525393 84872700524 127309050786 254618101572 275836276703 551672553406 827508830109 1103345106812 1655017660218 3310035320436