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3413115178368 = 27371269760111
BaseRepresentation
bin110001101010101101100…
…001001000110110000000
3110002021211212100201220220
4301222231201020312000
5421410024441201433
611131544035303040
7501406114222530
oct61525541106600
913067755321826
103413115178368
1110a65485a1765
1247159944aa80
131b9b173692cc
14bb2a4c474c0
155dbb27412b3
hex31aad848d80

3413115178368 has 64 divisors (see below), whose sum is σ = 10361242513920. Its totient is φ = 975175764480.

The previous prime is 3413115178351. The next prime is 3413115178393. The reversal of 3413115178368 is 8638715113143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3413115178368.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 634877368 + ... + 634882743.

It is an arithmetic number, because the mean of its divisors is an integer number (161894414280).

Almost surely, 23413115178368 is an apocalyptic number.

It is an amenable number.

3413115178368 is an abundant number, since it is smaller than the sum of its proper divisors (6948127335552).

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

3413115178368 is a wasteful number, since it uses less digits than its factorization.

3413115178368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269760135 (or 1269760123 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 3413115178368 in words is "three trillion, four hundred thirteen billion, one hundred fifteen million, one hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 1269760111 2539520222 3809280333 5079040444 7618560666 8888320777 10158080888 15237121332 17776641554 20316161776 26664962331 30474242664 35553283108 40632323552 53329924662 60948485328 71106566216 81264647104 106659849324 121896970656 142213132432 162529294208 213319698648 243793941312 284426264864 426639397296 487587882624 568852529728 853278794592 1137705059456 1706557589184 3413115178368