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116061625600 = 285261297289
BaseRepresentation
bin110110000010111001…
…1111101110100000000
3102002120112102110110221
41230011303331310000
53400143234004400
6125152403232424
711246054353204
oct1540563756400
9362515373427
10116061625600
1145248842148
121a5b0978714
13ac3829180b
145890274b04
153044354c1a
hex1b05cfdd00

116061625600 has 108 divisors (see below), whose sum is σ = 291980995180. Its totient is φ = 45663436800.

The previous prime is 116061625591. The next prime is 116061625627. The reversal of 116061625600 is 6526160611.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26368563456 + 89693062144 = 162384^2 + 299488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241756 + ... + 539044.

Almost surely, 2116061625600 is an apocalyptic number.

116061625600 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 116061625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990497590).

116061625600 is an abundant number, since it is smaller than the sum of its proper divisors (175919369580).

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

116061625600 is an equidigital number, since it uses as much as digits as its factorization.

116061625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297376 (or 297357 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 116061625600 in words is "one hundred sixteen billion, sixty-one million, six hundred twenty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 128 160 200 244 256 305 320 400 488 610 640 800 976 1220 1280 1525 1600 1952 2440 3050 3200 3904 4880 6100 6400 7808 9760 12200 15616 19520 24400 39040 48800 78080 97600 195200 297289 390400 594578 1189156 1486445 2378312 2972890 4756624 5945780 7432225 9513248 11891560 14864450 18134629 19026496 23783120 29728900 36269258 38052992 47566240 59457800 72538516 76105984 90673145 95132480 118915600 145077032 181346290 190264960 237831200 290154064 362692580 380529920 453365725 475662400 580308128 725385160 906731450 951324800 1160616256 1450770320 1813462900 1902649600 2321232512 2901540640 3626925800 4642465024 5803081280 7253851600 11606162560 14507703200 23212325120 29015406400 58030812800 116061625600