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3411645420096 = 2632769612
BaseRepresentation
bin110001101001010101111…
…010011101001001000000
3110002011001102202021121100
4301221111322131021000
5421344022211420341
611131142133254400
7501324516411144
oct61512572351100
913064042667540
103411645420096
1110a5963997601
12471249194400
131b9941a05064
14bb1a5977224
155db286bc3b6
hex31a55e9d240

3411645420096 has 63 divisors (see below), whose sum is σ = 9778992669433. Its totient is φ = 1137200363520.

The previous prime is 3411645420037. The next prime is 3411645420097. The reversal of 3411645420096 is 6900245461143.

The square root of 3411645420096 is 1847064.

It is a perfect power (a square), and thus also a powerful number.

3411645420096 is a `hidden beast` number, since 3 + 4 + 1 + 16 + 4 + 542 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 226705490496 + 3184939929600 = 476136^2 + 1784640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3411645420097) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 44291056 + ... + 44368016.

Almost surely, 23411645420096 is an apocalyptic number.

3411645420096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3411645420096 is the 1847064-th square number.

It is an amenable number.

3411645420096 is an abundant number, since it is smaller than the sum of its proper divisors (6367347249337).

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

3411645420096 is an frugal number, since it uses more digits than its factorization.

3411645420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153940 (or 76966 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3411645420096 in words is "three trillion, four hundred eleven billion, six hundred forty-five million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 76961 153922 230883 307844 461766 615688 692649 923532 1231376 1385298 1847064 2462752 2770596 3694128 4925504 5541192 7388256 11082384 14776512 22164768 44329536 5922995521 11845991042 17768986563 23691982084 35537973126 47383964168 53306959689 71075946252 94767928336 106613919378 142151892504 189535856672 213227838756 284303785008 379071713344 426455677512 568607570016 852911355024 1137215140032 1705822710048 3411645420096