Search a number
-
+
2429719203285 = 3251110945032327
BaseRepresentation
bin100011010110110110100…
…011001100110111010101
322121021112022100011122200
4203112312203030313111
5304302031104001120
65100110402515113
7340353464315433
oct43266643146725
98537468304580
102429719203285
11857490169510
12332a90065a99
131481770315aa
1485855a85d53
1543308a35e90
hex235b68ccdd5

2429719203285 has 48 divisors (see below), whose sum is σ = 4636528490880. Its totient is φ = 1167237889920.

The previous prime is 2429719203227. The next prime is 2429719203299. The reversal of 2429719203285 is 5823029179242.

2429719203285 is a `hidden beast` number, since 2 + 4 + 297 + 1 + 9 + 20 + 328 + 5 = 666.

It is not a de Polignac number, because 2429719203285 - 213 = 2429719195093 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22462209 + ... + 22570118.

It is an arithmetic number, because the mean of its divisors is an integer number (96594343560).

Almost surely, 22429719203285 is an apocalyptic number.

It is an amenable number.

2429719203285 is a deficient number, since it is larger than the sum of its proper divisors (2206809287595).

2429719203285 is a wasteful number, since it uses less digits than its factorization.

2429719203285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45032458 (or 45032455 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2429719203285 in words is "two trillion, four hundred twenty-nine billion, seven hundred nineteen million, two hundred three thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 109 165 327 495 545 981 1199 1635 3597 4905 5995 10791 17985 53955 45032327 135096981 225161635 405290943 495355597 675484905 1486066791 2026454715 2476777985 4458200373 4908523643 7430333955 14725570929 22291001865 24542618215 44176712787 53993760073 73627854645 161981280219 220883563935 269968800365 485943840657 809906401095 2429719203285