Search a number
-
+
41505262560750 = 2353972362324151
BaseRepresentation
bin10010110111111101100100…
…11011100110010111101110
312102221212100002222221020110
421123332302123212113232
520420010234203421000
6224135130541000450
711512441045515012
oct1133766233462756
9172855302887213
1041505262560750
111225231274821a
1247a3bb8553126
131a20c1105c631
14a36c18a32542
154be9a90d3850
hex25bfb26e65ee

41505262560750 has 128 divisors (see below), whose sum is σ = 104673911666688. Its totient is φ = 10953048960000.

The previous prime is 41505262560659. The next prime is 41505262560767. The reversal of 41505262560750 is 5706526250514.

It is a self number, because there is not a number n which added to its sum of digits gives 41505262560750.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1718561175 + ... + 1718585325.

It is an arithmetic number, because the mean of its divisors is an integer number (817764934896).

Almost surely, 241505262560750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41505262560750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52336955833344).

41505262560750 is an abundant number, since it is smaller than the sum of its proper divisors (63168649105938).

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

41505262560750 is a wasteful number, since it uses less digits than its factorization.

41505262560750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47891 (or 47881 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 41505262560750 in words is "forty-one trillion, five hundred five billion, two hundred sixty-two million, five hundred sixty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 97 125 150 194 250 291 375 485 582 750 970 1455 2425 2910 4850 7275 12125 14550 23623 24151 24250 36375 47246 48302 70869 72453 72750 118115 120755 141738 144906 236230 241510 354345 362265 590575 603775 708690 724530 1181150 1207550 1771725 1811325 2291431 2342647 2952875 3018875 3543450 3622650 4582862 4685294 5905750 6037750 6874293 7027941 8858625 9056625 11457155 11713235 13748586 14055882 17717250 18113250 22914310 23426470 34371465 35139705 57285775 58566175 68742930 70279410 114571550 117132350 171857325 175698525 286428875 292830875 343714650 351397050 570519073 572857750 585661750 859286625 878492625 1141038146 1711557219 1718573250 1756985250 2852595365 3423114438 5705190730 8557786095 14262976825 17115572190 28525953650 42788930475 55340350081 71314884125 85577860950 110680700162 142629768250 166021050243 213944652375 276701750405 332042100486 427889304750 553403500810 830105251215 1383508752025 1660210502430 2767017504050 4150526256075 6917543760125 8301052512150 13835087520250 20752631280375 41505262560750