Search a number
-
+
2148945486272 = 2613171491019687
BaseRepresentation
bin11111010001010111001…
…000011110000111000000
321121102210201001111221122
4133101113020132013000
5240202020021030042
64323113435411412
7311153605151204
oct37212710360700
97542721044848
102148945486272
117593a9782192
122a85915b3b68
1312784c4ca8c0
147601c182b04
153ad7420d7d2
hex1f45721e1c0

2148945486272 has 112 divisors (see below), whose sum is σ = 4895114212800. Its totient is φ = 927212716032.

The previous prime is 2148945486257. The next prime is 2148945486293. The reversal of 2148945486272 is 2726845498412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597613 + ... + 2617299.

It is an arithmetic number, because the mean of its divisors is an integer number (43706376900).

Almost surely, 22148945486272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148945486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447557106400).

2148945486272 is an abundant number, since it is smaller than the sum of its proper divisors (2746168726528).

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

2148945486272 is a wasteful number, since it uses less digits than its factorization.

2148945486272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019878 (or 1019868 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 62.

The spelling of 2148945486272 in words is "two trillion, one hundred forty-eight billion, nine hundred forty-five million, four hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 149 208 221 272 298 416 442 544 596 832 884 1088 1192 1768 1937 2384 2533 3536 3874 4768 5066 7072 7748 9536 10132 14144 15496 20264 30992 32929 40528 61984 65858 81056 123968 131716 162112 263432 526864 1019687 1053728 2039374 2107456 4078748 8157496 13255931 16314992 17334679 26511862 32629984 34669358 53023724 65259968 69338716 106047448 138677432 151933363 212094896 225350827 277354864 303866726 424189792 450701654 554709728 607733452 848379584 901403308 1109419456 1215466904 1802806616 1975133719 2430933808 2582867171 3605613232 3950267438 4861867616 5165734342 7211226464 7900534876 9723735232 10331468684 14422452928 15801069752 20662937368 31602139504 33577273223 41325874736 63204279008 67154546446 82651749472 126408558016 134309092892 165303498944 268618185784 537236371568 1074472743136 2148945486272