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63054792240 = 24351139296079
BaseRepresentation
bin111010101110010110…
…111100011000110000
320000202101201022220120
4322232112330120300
52013114011322430
644544511010240
74361361614346
oct725626743060
9200671638816
1063054792240
1124817871750
1210278b09980
135c3b5b716b
1430a247d996
151990a1b610
hexeae5bc630

63054792240 has 160 divisors (see below), whose sum is σ = 213329203200. Its totient is φ = 15279605760.

The previous prime is 63054792223. The next prime is 63054792277. The reversal of 63054792240 is 4229745036.

It is a junction number, because it is equal to n+sod(n) for n = 63054792192 and 63054792201.

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, 10369521 + ... + 10375599.

It is an arithmetic number, because the mean of its divisors is an integer number (1333307520).

Almost surely, 263054792240 is an apocalyptic number.

63054792240 is a gapful number since it is divisible by the number (60) 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 63054792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106664601600).

63054792240 is an abundant number, since it is smaller than the sum of its proper divisors (150274410960).

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

63054792240 is a wasteful number, since it uses less digits than its factorization.

63054792240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 63054792240 in words is "sixty-three billion, fifty-four million, seven hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3929 6079 7858 11787 12158 15716 18237 19645 23574 24316 30395 31432 36474 39290 43219 47148 48632 58935 60790 62864 66869 72948 78580 86438 91185 94296 97264 117870 121580 129657 133738 145896 157160 172876 182370 188592 200607 216095 235740 243160 259314 267476 291792 314320 334345 345752 364740 401214 432190 471480 486320 518628 534952 648285 668690 691504 729480 802428 864380 942960 1003035 1037256 1069904 1296570 1337380 1458960 1604856 1728760 2006070 2074512 2593140 2674760 3209712 3457520 4012140 5186280 5349520 8024280 10372560 16048560 23884391 47768782 71653173 95537564 119421955 143306346 191075128 238843910 262728301 286612692 358265865 382150256 477687820 525456602 573225384 716531730 788184903 955375640 1050913204 1146450768 1313641505 1433063460 1576369806 1910751280 2101826408 2627283010 2866126920 3152739612 3940924515 4203652816 5254566020 5732253840 6305479224 7881849030 10509132040 12610958448 15763698060 21018264080 31527396120 63054792240