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117661626320 = 2457261492061
BaseRepresentation
bin110110110010100101…
…1011110111111010000
3102020201001002220211212
41231211023132333100
53411432334020240
6130015240555252
711333523215300
oct1554513367720
9366631086755
10117661626320
1145999a14397
121a978782b28
13b1318c79c4
1459a2969600
1530d9a54165
hex1b652defd0

117661626320 has 120 divisors (see below), whose sum is σ = 323444162088. Its totient is φ = 39679718400.

The previous prime is 117661626319. The next prime is 117661626349. The reversal of 117661626320 is 23626166711.

It can be written as a sum of positive squares in 4 ways, for example, as 703098256 + 116958528064 = 26516^2 + 341992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6911 + ... + 485150.

Almost surely, 2117661626320 is an apocalyptic number.

117661626320 is a gapful number since it is divisible by the number (10) 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 117661626320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161722081044).

117661626320 is an abundant number, since it is smaller than the sum of its proper divisors (205782535768).

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

117661626320 is a wasteful number, since it uses less digits than its factorization.

117661626320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492149 (or 492136 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 117661626320 in words is "one hundred seventeen billion, six hundred sixty-one million, six hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 61 70 80 98 112 122 140 196 244 245 280 305 392 427 488 490 560 610 784 854 976 980 1220 1708 1960 2135 2440 2989 3416 3920 4270 4880 5978 6832 8540 11956 14945 17080 23912 29890 34160 47824 59780 119560 239120 492061 984122 1968244 2460305 3444427 3936488 4920610 6888854 7872976 9841220 13777708 17222135 19682440 24110989 27555416 30015721 34444270 39364880 48221978 55110832 60031442 68888540 96443956 120062884 120554945 137777080 150078605 192887912 210110047 240125768 241109890 275554160 300157210 385775824 420220094 480251536 482219780 600314420 840440188 964439560 1050550235 1200628840 1470770329 1680880376 1928879120 2101100470 2401257680 2941540658 3361760752 4202200940 5883081316 7353851645 8404401880 11766162632 14707703290 16808803760 23532325264 29415406580 58830813160 117661626320