Search a number
-
+
2278478779920 = 243357150693041
BaseRepresentation
bin100001001001111111111…
…010110001011000010000
322001211011002210121211000
4201021333322301120100
5244312311031424140
64502415123422000
7323420554035510
oct41117772613020
98054132717730
102278478779920
117a932a964992
12309701b24900
13136b237a6515
147c3c9681840
153e4060d3a30
hex2127feb1610

2278478779920 has 160 divisors (see below), whose sum is σ = 8969249859840. Its totient is φ = 520795146240.

The previous prime is 2278478779867. The next prime is 2278478779921. The reversal of 2278478779920 is 299778748722.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2278478779921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75331401 + ... + 75361640.

It is an arithmetic number, because the mean of its divisors is an integer number (56057811624).

Almost surely, 22278478779920 is an apocalyptic number.

2278478779920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2278478779920 is an abundant number, since it is smaller than the sum of its proper divisors (6690771079920).

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

2278478779920 is a wasteful number, since it uses less digits than its factorization.

2278478779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150693070 (or 150693058 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 2278478779920 in words is "two trillion, two hundred seventy-eight billion, four hundred seventy-eight million, seven hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 150693041 301386082 452079123 602772164 753465205 904158246 1054851287 1205544328 1356237369 1506930410 1808316492 2109702574 2260395615 2411088656 2712474738 3013860820 3164553861 3616632984 4068712107 4219405148 4520791230 5274256435 5424949476 6027721640 6329107722 6781186845 7233265968 8137424214 8438810296 9041582460 9493661583 10548512870 10849898952 12055443280 12658215444 13562373690 15822769305 16274848428 16877620592 18083164920 18987323166 20343560535 21097025740 21699797904 25316430888 27124747380 28480984749 31645538610 32549696856 36166329840 37974646332 40687121070 42194051480 47468307915 50632861776 54249494760 56961969498 63291077220 65099393712 75949292664 81374242140 84388102960 94936615830 108498989520 113923938996 126582154440 142404923745 151898585328 162748484280 189873231660 227847877992 253164308880 284809847490 325496968560 379746463320 455695755984 569619694980 759492926640 1139239389960 2278478779920