Search a number
-
+
2166902511248 = 241931799073209
BaseRepresentation
bin11111100010000101011…
…101000101011010010000
321200011011011100220022202
4133202011131011122100
5241000304020324443
64335243345022332
7312360602304536
oct37420535053220
97604134326282
102166902511248
11765a83a818a2
122abb633249a8
13129451862477
1476c42dc4156
153b5759287b8
hex1f885745690

2166902511248 has 160 divisors (see below), whose sum is σ = 4626180096000. Its totient is φ = 979356718080.

The previous prime is 2166902511199. The next prime is 2166902511287. The reversal of 2166902511248 is 8421152096612.

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 31 ways as a sum of consecutive naturals, for example, 675256268 + ... + 675259476.

It is an arithmetic number, because the mean of its divisors is an integer number (28913625600).

Almost surely, 22166902511248 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 2166902511248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313090048000).

2166902511248 is an abundant number, since it is smaller than the sum of its proper divisors (2459277584752).

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

2166902511248 is a wasteful number, since it uses less digits than its factorization.

2166902511248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 2166902511248 in words is "two trillion, one hundred sixty-six billion, nine hundred two million, five hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 31 38 62 76 79 124 152 158 248 304 316 496 589 632 907 1178 1264 1501 1814 2356 2449 3002 3209 3628 4712 4898 6004 6418 7256 9424 9796 12008 12836 14512 17233 19592 24016 25672 28117 34466 39184 46531 51344 56234 60971 68932 71653 93062 99479 112468 121942 137864 143306 186124 198958 224936 243884 253511 275728 286612 372248 397916 449872 487768 507022 534223 573224 744496 795832 975536 1014044 1068446 1146448 1361407 1591664 1890101 2028088 2136892 2221243 2722814 2910563 3780202 4056176 4273784 4442486 4816709 5445628 5821126 7560404 7858841 8547568 8884972 9633418 10891256 11642252 15120808 15717682 17769944 19266836 21782512 23284504 30241616 31435364 35539888 38533672 42203617 46569008 55300697 62870728 77067344 84407234 90227453 110601394 125741456 149317979 168814468 180454906 221202788 229934477 298635958 337628936 360909812 442405576 459868954 597271916 675257872 721819624 884811152 919737908 1194543832 1443639248 1714321607 1839475816 2389087664 3428643214 3678951632 4368755063 6857286428 7127968787 8737510126 13714572856 14255937574 17475020252 27429145712 28511875148 34950040504 57023750296 69900081008 114047500592 135431406953 270862813906 541725627812 1083451255624 2166902511248