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116882060800 = 295283110017
BaseRepresentation
bin110110011011010110…
…1101011011000000000
3102011200201012212222211
41230312231223120000
53403333301421200
6125410032111504
711305306060441
oct1546655533000
9364621185884
10116882060800
114562997026a
121a79b695594
13b03924ac2b
14592b1dd2c8
1530913b6aba
hex1b36b6b600

116882060800 has 120 divisors (see below), whose sum is σ = 293076070056. Its totient is φ = 46189117440.

The previous prime is 116882060747. The next prime is 116882060807. The reversal of 116882060800 is 8060288611.

It is a super-2 number, since 2×1168820608002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116882060807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1007392 + ... + 1117408.

Almost surely, 2116882060800 is an apocalyptic number.

116882060800 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 116882060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146538035028).

116882060800 is an abundant number, since it is smaller than the sum of its proper divisors (176194009256).

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

116882060800 is an equidigital number, since it uses as much as digits as its factorization.

116882060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110128 (or 110107 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 116882060800 in words is "one hundred sixteen billion, eight hundred eighty-two million, sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 128 160 166 200 256 320 332 400 415 512 640 664 800 830 1280 1328 1600 1660 2075 2560 2656 3200 3320 4150 5312 6400 6640 8300 10624 12800 13280 16600 21248 26560 33200 42496 53120 66400 106240 110017 132800 212480 220034 265600 440068 531200 550085 880136 1062400 1100170 1760272 2200340 2750425 3520544 4400680 5500850 7041088 8801360 9131411 11001700 14082176 17602720 18262822 22003400 28164352 35205440 36525644 44006800 45657055 56328704 70410880 73051288 88013600 91314110 140821760 146102576 176027200 182628220 228285275 281643520 292205152 352054400 365256440 456570550 584410304 704108800 730512880 913141100 1168820608 1408217600 1461025760 1826282200 2337641216 2922051520 3652564400 4675282432 5844103040 7305128800 11688206080 14610257600 23376412160 29220515200 58441030400 116882060800