Search a number
-
+
4586378705440 = 255722391828933
BaseRepresentation
bin100001010111101100101…
…1110010011101000100000
3121020110020121200022001021
41002233121132103220200
51100120400422033230
613430541524415224
7652232511524110
oct102573136235040
917213217608037
104586378705440
111509088237a34
12620a54b47514
13273655740c1c
1411bda652b040
157e48009dc7a
hex42bd9793a20

4586378705440 has 96 divisors (see below), whose sum is σ = 12388759971840. Its totient is φ = 1571769529344.

The previous prime is 4586378705401. The next prime is 4586378705443. The reversal of 4586378705440 is 445078736854.

It is not an unprimeable number, because it can be changed into a prime (4586378705443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593214 + ... + 3422146.

It is an arithmetic number, because the mean of its divisors is an integer number (129049583040).

Almost surely, 24586378705440 is an apocalyptic number.

4586378705440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4586378705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194379985920).

4586378705440 is an abundant number, since it is smaller than the sum of its proper divisors (7802381266400).

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

4586378705440 is a wasteful number, since it uses less digits than its factorization.

4586378705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831194 (or 1831186 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 61.

The spelling of 4586378705440 in words is "four trillion, five hundred eighty-six billion, three hundred seventy-eight million, seven hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2239 4478 8956 11195 15673 17912 22390 31346 35824 44780 62692 71648 78365 89560 125384 156730 179120 250768 313460 358240 501536 626920 1253840 1828933 2507680 3657866 7315732 9144665 12802531 14631464 18289330 25605062 29262928 36578660 51210124 58525856 64012655 73157320 102420248 128025310 146314640 204840496 256050620 292629280 409680992 512101240 1024202480 2048404960 4094980987 8189961974 16379923948 20474904935 28664866909 32759847896 40949809870 57329733818 65519695792 81899619740 114659467636 131039391584 143324334545 163799239480 229318935272 286648669090 327598478960 458637870544 573297338180 655196957920 917275741088 1146594676360 2293189352720 4586378705440