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2979461745 = 3351323223331
BaseRepresentation
bin1011000110010110…
…1111101001110001
321200122101100011000
42301211233221301
522100220233440
61211352112213
7133556002251
oct26145575161
97618340130
102979461745
111299912787
126b1995669
13386373120
142039bb961
15126888730
hexb196fa71

2979461745 has 128 divisors (see below), whose sum is σ = 5997035520. Its totient is φ = 1392526080.

The previous prime is 2979461689. The next prime is 2979461753. The reversal of 2979461745 is 5471649792.

It is not a de Polignac number, because 2979461745 - 216 = 2979396209 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2979461691 and 2979461700.

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, 9001230 + ... + 9001560.

It is an arithmetic number, because the mean of its divisors is an integer number (46851840).

Almost surely, 22979461745 is an apocalyptic number.

It is an amenable number.

2979461745 is an abundant number, since it is smaller than the sum of its proper divisors (3017573775).

2979461745 is a wasteful number, since it uses less digits than its factorization.

2979461745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 2979461745 is about 54584.4459988374. The cubic root of 2979461745 is about 1438.9507764913.

The spelling of 2979461745 in words is "two billion, nine hundred seventy-nine million, four hundred sixty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 223 299 331 345 351 585 621 669 897 993 1035 1115 1495 1655 1755 2007 2691 2899 2979 3105 3345 4303 4485 4965 5129 6021 7613 8073 8697 8937 10035 12909 13455 14495 14895 15387 21515 22839 25645 26091 30105 38065 38727 40365 43485 44685 46161 64545 66677 68517 73813 76935 78273 98969 114195 116181 130455 138483 193635 200031 205551 221439 230805 296907 333385 342585 369065 391365 494845 580905 600093 664317 692415 890721 959569 1000155 1027755 1107195 1484535 1697699 1800279 1992951 2672163 2878707 3000465 3321585 4453605 4797845 5093097 8488495 8636121 9001395 9964755 13360815 14393535 15279291 22070087 25465485 25908363 43180605 45837873 66210261 76396455 110350435 129541815 198630783 229189365 331051305 595892349 993153915 2979461745