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116653225200 = 24352257378253
BaseRepresentation
bin110110010100100010…
…0101111010011110000
3102011002202121211120020
41230221010233103300
53402401211201300
6125331215243440
711266530024321
oct1545104572360
9364082554506
10116653225200
1145521782736
121a736b19580
13b000a08955
145908a72448
15307b2638a0
hex1b2912f4f0

116653225200 has 120 divisors (see below), whose sum is σ = 375134161008. Its totient is φ = 30986403840.

The previous prime is 116653225187. The next prime is 116653225207. The reversal of 116653225200 is 2522356611.

116653225200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116653225207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119274 + ... + 497526.

Almost surely, 2116653225200 is an apocalyptic number.

116653225200 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 116653225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187567080504).

116653225200 is an abundant number, since it is smaller than the sum of its proper divisors (258480935808).

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

116653225200 is a wasteful number, since it uses less digits than its factorization.

116653225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378531 (or 378520 counting only the distinct ones).

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

The spelling of 116653225200 in words is "one hundred sixteen billion, six hundred fifty-three million, two hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 257 300 400 514 600 771 1028 1200 1285 1542 2056 2570 3084 3855 4112 5140 6168 6425 7710 10280 12336 12850 15420 19275 20560 25700 30840 38550 51400 61680 77100 102800 154200 308400 378253 756506 1134759 1513012 1891265 2269518 3026024 3782530 4539036 5673795 6052048 7565060 9078072 9456325 11347590 15130120 18156144 18912650 22695180 28368975 30260240 37825300 45390360 56737950 75650600 90780720 97211021 113475900 151301200 194422042 226951800 291633063 388844084 453903600 486055105 583266126 777688168 972110210 1166532252 1458165315 1555376336 1944220420 2333064504 2430275525 2916330630 3888440840 4666129008 4860551050 5832661260 7290826575 7776881680 9721102100 11665322520 14581653150 19442204200 23330645040 29163306300 38884408400 58326612600 116653225200