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56065431120 = 24352325933917
BaseRepresentation
bin110100001101110000…
…101001011001010000
312100201021222222220220
4310031300221121100
51404310222243440
641431152433040
74023232205256
oct641560513120
9170637888826
1056065431120
1121860524246
12aa48248780
13539656781a
1429dc0d25d6
1516d21048d0
hexd0dc29650

56065431120 has 160 divisors (see below), whose sum is σ = 181475741952. Its totient is φ = 14291582976.

The previous prime is 56065431101. The next prime is 56065431137. The reversal of 56065431120 is 2113456065.

It is a congruent number.

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, 14311402 + ... + 14315318.

Almost surely, 256065431120 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 56065431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90737870976).

56065431120 is an abundant number, since it is smaller than the sum of its proper divisors (125410310832).

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

56065431120 is a wasteful number, since it uses less digits than its factorization.

56065431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 56065431120 its reverse (2113456065), we get a palindrome (58178887185).

The spelling of 56065431120 in words is "fifty-six billion, sixty-five million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2593 2760 3917 5186 5520 7779 7834 10372 11751 12965 15558 15668 19585 20744 23502 25930 31116 31336 38895 39170 41488 47004 51860 58755 59639 62232 62672 77790 78340 90091 94008 103720 117510 119278 124464 155580 156680 178917 180182 188016 207440 235020 238556 270273 298195 311160 313360 357834 360364 450455 470040 477112 540546 596390 622320 715668 720728 894585 900910 940080 954224 1081092 1192780 1351365 1431336 1441456 1789170 1801820 2162184 2385560 2702730 2862672 3578340 3603640 4324368 4771120 5405460 7156680 7207280 10156781 10810920 14313360 20313562 21621840 30470343 40627124 50783905 60940686 81254248 101567810 121881372 152351715 162508496 203135620 233605963 243762744 304703430 406271240 467211926 487525488 609406860 700817889 812542480 934423852 1168029815 1218813720 1401635778 1868847704 2336059630 2437627440 2803271556 3504089445 3737695408 4672119260 5606543112 7008178890 9344238520 11213086224 14016357780 18688477040 28032715560 56065431120