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2672668407305 = 5131710922189949
BaseRepresentation
bin100110111001000111011…
…100110111011000001001
3100110111121212010111000002
4212321013130313120021
5322242111103013210
65403450143252345
7364044133424621
oct46710734673011
910414555114002
102672668407305
11940521704346
12371b932aa0b5
13165054410a50
1493501cb7881
15497c78504a5
hex26e47737609

2672668407305 has 32 divisors (see below), whose sum is σ = 3690632484000. Its totient is φ = 1840523046912.

The previous prime is 2672668407259. The next prime is 2672668407337. The reversal of 2672668407305 is 5037048662762.

It can be written as a sum of positive squares in 16 ways, for example, as 252437914624 + 2420230492681 = 502432^2 + 1555709^2 .

It is a cyclic number.

It is not a de Polignac number, because 2672668407305 - 28 = 2672668407049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10974530 + ... + 11215419.

It is an arithmetic number, because the mean of its divisors is an integer number (115332265125).

Almost surely, 22672668407305 is an apocalyptic number.

It is an amenable number.

2672668407305 is a deficient number, since it is larger than the sum of its proper divisors (1017964076695).

2672668407305 is a wasteful number, since it uses less digits than its factorization.

2672668407305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22190093.

The product of its (nonzero) digits is 20321280, while the sum is 56.

The spelling of 2672668407305 in words is "two trillion, six hundred seventy-two billion, six hundred sixty-eight million, four hundred seven thousand, three hundred five".

Divisors: 1 5 13 17 65 85 109 221 545 1105 1417 1853 7085 9265 24089 120445 22189949 110949745 288469337 377229133 1442346685 1886145665 2418704441 4903978729 12093522205 24519893645 31443157733 41117975497 157215788665 205589877485 534533681461 2672668407305