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3323606420128 = 253717920897507
BaseRepresentation
bin110000010111010110011…
…000010100101010100000
3102202201210211211200210211
4300113112120110222200
5413423221220421003
611022502124103504
7462060031304641
oct60272630245240
912681724750724
103323606420128
1110715961a58a5
12458179094b94
131b1551253837
14b6c132a16c8
155b6c459c96d
hex305d6614aa0

3323606420128 has 96 divisors (see below), whose sum is σ = 6761875982400. Its totient is φ = 1606872950784.

The previous prime is 3323606420087. The next prime is 3323606420171. The reversal of 3323606420128 is 8210246063233.

It is a happy number.

It is a super-2 number, since 2×33236064201282 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442730551 + ... + 442738057.

It is an arithmetic number, because the mean of its divisors is an integer number (70436208150).

Almost surely, 23323606420128 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 3323606420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380937991200).

3323606420128 is an abundant number, since it is smaller than the sum of its proper divisors (3438269562272).

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

3323606420128 is a wasteful number, since it uses less digits than its factorization.

3323606420128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 3323606420128 in words is "three trillion, three hundred twenty-three billion, six hundred six million, four hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 179 296 358 592 716 1184 1432 2089 2864 4178 5728 6623 7507 8356 13246 15014 16712 26492 30028 33424 52984 60056 66848 77293 105968 120112 154586 211936 240224 277759 309172 373931 555518 618344 747862 1111036 1236688 1343753 1495724 2222072 2473376 2687506 2991448 4444144 5375012 5982896 8888288 10750024 11965792 13835447 15682123 21500048 27670894 31364246 43000096 49718861 55341788 62728492 99437722 110683576 125456984 198875444 221367152 250913968 397750888 442734304 501827936 580238551 795501776 1160477102 1591003552 2320954204 2807100017 4641908408 5614200034 9283816816 11228400068 18567633632 22456800136 44913600272 89827200544 103862700629 207725401258 415450802516 830901605032 1661803210064 3323606420128