Search a number
-
+
2072866066992 = 243373718526259
BaseRepresentation
bin11110001010100000011…
…100100001001000110000
321100011102121012120122000
4132022200130201020300
5232430212203120432
64224132253414000
7302521360566120
oct36124034411060
97304377176560
102072866066992
1172a108945466
1229589a79a300
131206166cb546
1472481da6c80
1538dc002857c
hex1e2a0721230

2072866066992 has 160 divisors (see below), whose sum is σ = 6983658969600. Its totient is φ = 576240728832.

The previous prime is 2072866066987. The next prime is 2072866067009. The reversal of 2072866066992 is 2996606682702.

2072866066992 is a `hidden beast` number, since 207 + 286 + 6 + 0 + 6 + 69 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 9151242 + ... + 9375017.

It is an arithmetic number, because the mean of its divisors is an integer number (43647868560).

Almost surely, 22072866066992 is an apocalyptic number.

It is an amenable number.

2072866066992 is an abundant number, since it is smaller than the sum of its proper divisors (4910792902608).

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

2072866066992 is a wasteful number, since it uses less digits than its factorization.

2072866066992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18526320 (or 18526308 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 2072866066992 in words is "two trillion, seventy-two billion, eight hundred sixty-six million, sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 84 108 111 112 126 144 148 168 189 216 222 252 259 296 333 336 378 432 444 504 518 592 666 756 777 888 999 1008 1036 1332 1512 1554 1776 1998 2072 2331 2664 3024 3108 3996 4144 4662 5328 6216 6993 7992 9324 12432 13986 15984 18648 27972 37296 55944 111888 18526259 37052518 55578777 74105036 111157554 129683813 148210072 166736331 222315108 259367626 296420144 333472662 389051439 444630216 500208993 518735252 666945324 685471583 778102878 889260432 1000417986 1037470504 1167154317 1333890648 1370943166 1556205756 2000835972 2056414749 2074941008 2334308634 2667781296 2741886332 3112411512 3501462951 4001671944 4112829498 4668617268 4798301081 5483772664 6169244247 6224823024 7002925902 8003343888 8225658996 9337234536 9596602162 10967545328 12338488494 14005851804 14394903243 16451317992 18507732741 18674469072 19193204324 24676976988 28011703608 28789806486 32902635984 37015465482 38386408648 43184709729 49353953976 56023407216 57579612972 74030930964 76772817296 86369419458 98707907952 115159225944 129554129187 148061861928 172738838916 230318451888 259108258374 296123723856 345477677832 518216516748 690955355664 1036433033496 2072866066992