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2345108619328 = 26677950313763
BaseRepresentation
bin100010001000000011010…
…111011100000001000000
322022012010122121011110221
4202020003113130001000
5301410240301304303
64553154504232424
7331266656240206
oct42100327340100
98265118534427
102345108619328
11824611751472
1231a5b816b714
131401b1944bb7
148170a857076
15410058d34bd
hex222035dc040

2345108619328 has 112 divisors (see below), whose sum is σ = 4792673249280. Its totient is φ = 1138082609664.

The previous prime is 2345108619317. The next prime is 2345108619377. The reversal of 2345108619328 is 8239168015432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170385375 + ... + 170399137.

It is an arithmetic number, because the mean of its divisors is an integer number (42791725440).

Almost surely, 22345108619328 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 2345108619328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396336624640).

2345108619328 is an abundant number, since it is smaller than the sum of its proper divisors (2447564629952).

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

2345108619328 is a wasteful number, since it uses less digits than its factorization.

2345108619328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14414 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 2345108619328 in words is "two trillion, three hundred forty-five billion, one hundred eight million, six hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 67 79 134 158 268 316 503 536 632 1006 1072 1264 2012 2144 2528 4024 4288 5056 5293 8048 10586 13763 16096 21172 27526 32192 33701 39737 42344 55052 67402 79474 84688 110104 134804 158948 169376 220208 269608 317896 338752 440416 539216 635792 880832 922121 1078432 1087277 1271584 1844242 2156864 2174554 2543168 2662379 3688484 4349108 5324758 6922789 7376968 8698216 10649516 13845578 14753936 17396432 21299032 27691156 29507872 34792864 42598064 55382312 59015744 69585728 72847559 85196128 110764624 145695118 170392256 221529248 291390236 443058496 463826863 546900331 582780472 927653726 1093800662 1165560944 1855307452 2187601324 2331121888 3710614904 4375202648 4662243776 7421229808 8750405296 14842459616 17500810592 29684919232 35001621184 36642322177 73284644354 146569288708 293138577416 586277154832 1172554309664 2345108619328