Search a number
-
+
246701561028240 = 243537130321321341
BaseRepresentation
bin111000000101111110101110…
…111010010001111010010000
31012100111102211221221110200210
4320011332232322101322100
5224313424244110400430
62232405044344244120
7102651412443263013
oct7005765672217220
91170442757843623
10246701561028240
11716745a978204a
12238044b9770640
13a786b1b8925c6
1444cc5c266137a
151d7c418d9d2b0
hexe05faee91e90

246701561028240 has 160 divisors (see below), whose sum is σ = 786047263255296. Its totient is φ = 63959926302720.

The previous prime is 246701561028193. The next prime is 246701561028269. The reversal of 246701561028240 is 42820165107642.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 246701561028240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909970 + ... + 22231310.

Almost surely, 2246701561028240 is an apocalyptic number.

246701561028240 is a gapful number since it is divisible by the number (20) 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 246701561028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393023631627648).

246701561028240 is an abundant number, since it is smaller than the sum of its proper divisors (539345702227056).

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

246701561028240 is a wasteful number, since it uses less digits than its factorization.

246701561028240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21322697 (or 21322691 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 246701561028240 in words is "two hundred forty-six trillion, seven hundred one billion, five hundred sixty-one million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1303 1480 1776 2220 2606 2960 3909 4440 5212 6515 7818 8880 10424 13030 15636 19545 20848 26060 31272 39090 48211 52120 62544 78180 96422 104240 144633 156360 192844 241055 289266 312720 385688 482110 578532 723165 771376 964220 1157064 1446330 1928440 2314128 2892660 3856880 5785320 11570640 21321341 42642682 63964023 85285364 106606705 127928046 170570728 213213410 255856092 319820115 341141456 426426820 511712184 639640230 788889617 852853640 1023424368 1279280460 1577779234 1705707280 2366668851 2558560920 3155558468 3944448085 4733337702 5117121840 6311116936 7888896170 9466675404 11833344255 12622233872 15777792340 18933350808 23666688510 27781707323 31555584680 37866701616 47333377020 55563414646 63111169360 83345121969 94666754040 111126829292 138908536615 166690243938 189333508080 222253658584 277817073230 333380487876 416725609845 444507317168 555634146460 666760975752 833451219690 1027923170951 1111268292920 1333521951504 1666902439380 2055846341902 2222536585840 3083769512853 3333804878760 4111692683804 5139615854755 6167539025706 6667609757520 8223385367608 10279231709510 12335078051412 15418847564265 16446770735216 20558463419020 24670156102824 30837695128530 41116926838040 49340312205648 61675390257060 82233853676080 123350780514120 246701561028240