Search a number
-
+
2464235041050 = 2325222338963127
BaseRepresentation
bin100011110110111111110…
…110101011000100011010
322201120121202222101212100
4203312333312223010122
5310333223132303200
65124015353024230
7343015020150156
oct43667766530432
98646552871770
102464235041050
11870092490272
123397033b5076
1314b4b7b56c33
14873abb60066
1544178d2ad00
hex23dbfdab11a

2464235041050 has 144 divisors (see below), whose sum is σ = 6667468254720. Its totient is φ = 652490536320.

The previous prime is 2464235041007. The next prime is 2464235041063. The reversal of 2464235041050 is 501405324642.

2464235041050 is a `hidden beast` number, since 2 + 4 + 6 + 4 + 235 + 0 + 410 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2464235040996 and 2464235041014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39004587 + ... + 39067713.

It is an arithmetic number, because the mean of its divisors is an integer number (46301862880).

Almost surely, 22464235041050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2464235041050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333734127360).

2464235041050 is an abundant number, since it is smaller than the sum of its proper divisors (4203233213670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2464235041050 is a wasteful number, since it uses less digits than its factorization.

2464235041050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63757 (or 63749 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2464235041050 in words is "two trillion, four hundred sixty-four billion, two hundred thirty-five million, forty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 223 225 389 446 450 669 778 1115 1167 1338 1945 2007 2230 2334 3345 3501 3890 4014 5575 5835 6690 7002 9725 10035 11150 11670 16725 17505 19450 20070 29175 33450 35010 50175 58350 63127 86747 87525 100350 126254 173494 175050 189381 260241 315635 378762 433735 520482 568143 631270 780723 867470 946905 1136286 1301205 1561446 1578175 1893810 2168675 2602410 2840715 3156350 3903615 4337350 4734525 5681430 6506025 7807230 9469050 13012050 14077321 14203575 19518075 24556403 28154642 28407150 39036150 42231963 49112806 70386605 73669209 84463926 122782015 126695889 140773210 147338418 211159815 221007627 245564030 253391778 351933025 368346045 422319630 442015254 613910075 633479445 703866050 736692090 1055799075 1105038135 1227820150 1266958890 1841730225 2111598150 2210076270 3167397225 3683460450 5476077869 5525190675 6334794450 10952155738 11050381350 16428233607 27380389345 32856467214 49284700821 54760778690 82141168035 98569401642 136901946725 164282336070 246423504105 273803893450 410705840175 492847008210 821411680350 1232117520525 2464235041050