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2164343074305 = 353761149503853
BaseRepresentation
bin11111011111101100111…
…001100110111000000001
321122220112210100000212220
4133133230321212320001
5240430033311334210
64334141355241253
7312240303405336
oct37375471467001
97586483300786
102164343074305
11764990271a55
122ab56a149229
13129134522439
1476a7d10098d
153b475dabc70
hex1f7ece66e01

2164343074305 has 128 divisors (see below), whose sum is σ = 3650616345600. Its totient is φ = 1093827317760.

The previous prime is 2164343074253. The next prime is 2164343074321. The reversal of 2164343074305 is 5034703434612.

It is a happy number.

It is not a de Polignac number, because 2164343074305 - 218 = 2164342812161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2537330259 + ... + 2537331111.

It is an arithmetic number, because the mean of its divisors is an integer number (28520440200).

Almost surely, 22164343074305 is an apocalyptic number.

It is an amenable number.

2164343074305 is a deficient number, since it is larger than the sum of its proper divisors (1486273271295).

2164343074305 is a wasteful number, since it uses less digits than its factorization.

2164343074305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611.

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 2164343074305 in words is "two trillion, one hundred sixty-four billion, three hundred forty-three million, seventy-four thousand, three hundred five".

Divisors: 1 3 5 15 37 61 111 149 183 185 305 447 503 555 745 853 915 1509 2235 2257 2515 2559 4265 5513 6771 7545 9089 11285 12795 16539 18611 27267 27565 30683 31561 33855 45445 52033 55833 74947 82695 92049 93055 94683 127097 136335 153415 156099 157805 224841 260165 279165 336293 374735 381291 429059 460245 473415 635485 780495 1008879 1124205 1135271 1287177 1681465 1906455 1925221 2145295 2773039 3405813 4571767 4702589 5044395 5676355 5775663 6435885 7752917 8319117 9626105 13715301 13865195 14107767 15875183 17029065 22858835 23258751 23512945 26172599 28878315 38764585 41595585 47625549 63929791 68576505 70538835 78517797 79375915 116293755 130862995 169155379 191789373 238127745 286857929 319648955 392588985 507466137 845776895 860573787 958946865 968386163 1434289645 2365402267 2537330685 2905158489 3899717251 4302868935 4841930815 7096206801 11699151753 11827011335 14525792445 19498586255 35481034005 58495758765 144289538287 432868614861 721447691435 2164343074305