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78113661220 = 22572359940499
BaseRepresentation
bin100100010111111101…
…1111110000100100100
321110121212122010122201
41020233323332010210
52234434044124340
655515050504244
75433505110430
oct1105773760444
9243555563581
1078113661220
1130145141911
1213180135084
13749b3a541a
143ad04299c0
152072aad79a
hex122fefe124

78113661220 has 96 divisors (see below), whose sum is σ = 195955200000. Its totient is φ = 25574001024.

The previous prime is 78113661217. The next prime is 78113661253. The reversal of 78113661220 is 2216631187.

It is a super-2 number, since 2×781136612202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78113661220.

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, 1908531 + ... + 1949029.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200000).

Almost surely, 278113661220 is an apocalyptic number.

78113661220 is a gapful number since it is divisible by the number (70) 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 78113661220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600000).

78113661220 is an abundant number, since it is smaller than the sum of its proper divisors (117841538780).

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

78113661220 is a wasteful number, since it uses less digits than its factorization.

78113661220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41137 (or 41135 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 78113661220 in words is "seventy-eight billion, one hundred thirteen million, six hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 599 644 805 1198 1610 2396 2995 3220 4193 5990 8386 11980 13777 16772 20965 27554 40499 41930 55108 68885 80998 83860 96439 137770 161996 192878 202495 275540 283493 385756 404990 482195 566986 809980 931477 964390 1133972 1417465 1862954 1928780 2834930 3725908 4657385 5669860 6520339 9314770 13040678 18629540 24258901 26081356 32601695 48517802 65203390 97035604 121294505 130406780 169812307 242589010 339624614 485178020 557954723 679249228 849061535 1115909446 1698123070 2231818892 2789773615 3396246140 3905683061 5579547230 7811366122 11159094460 15622732244 19528415305 39056830610 78113661220