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64162123373145 = 3576771128456557
BaseRepresentation
bin11101001011010111010001…
…00100100101101001011001
322102011211122200210220021010
432211223220210211221121
531402213012040420040
6344243401135004133
716341363142040160
oct1645535044455131
9272154580726233
1064162123373145
1119498004a39576
127243071369649
1329a56017c6245
1411bb66b59c3d7
1576400db2ce80
hex3a5ae8925a59

64162123373145 has 64 divisors (see below), whose sum is σ = 120753275129856. Its totient is φ = 28486525858560.

The previous prime is 64162123373113. The next prime is 64162123373167. The reversal of 64162123373145 is 54137332126146.

64162123373145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64162123373145 - 25 = 64162123373113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64162123373094 and 64162123373103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63728794 + ... + 64727763.

It is an arithmetic number, because the mean of its divisors is an integer number (1886769923904).

Almost surely, 264162123373145 is an apocalyptic number.

It is an amenable number.

64162123373145 is a deficient number, since it is larger than the sum of its proper divisors (56591151756711).

64162123373145 is a wasteful number, since it uses less digits than its factorization.

64162123373145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128456710.

The product of its digits is 2177280, while the sum is 48.

The spelling of 64162123373145 in words is "sixty-four trillion, one hundred sixty-two billion, one hundred twenty-three million, three hundred seventy-three thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 67 71 105 201 213 335 355 469 497 1005 1065 1407 1491 2345 2485 4757 7035 7455 14271 23785 33299 71355 99897 166495 499485 128456557 385369671 642282785 899195899 1926848355 2697587697 4495979495 8606589319 9120415547 13487938485 25819767957 27361246641 43032946595 45602077735 60246125233 63842908829 129098839785 136806233205 180738375699 191528726487 301230626165 319214544145 611067841649 903691878495 957643632435 1833203524947 3055339208245 4277474891543 9166017624735 12832424674629 21387374457715 64162123373145