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116174777320 = 235710122718097
BaseRepresentation
bin110110000110010001…
…1100110101111101000
3102002212102100011110101
41230030203212233220
53400411220333240
6125211524355144
711251630212460
oct1541443465750
9362772304411
10116174777320
11452a66a6768
121a622845ab4
13ac5585b5b4
1458a12caba0
15304e25639a
hex1b0c8e6be8

116174777320 has 128 divisors (see below), whose sum is σ = 303038703360. Its totient is φ = 39261081600.

The previous prime is 116174777309. The next prime is 116174777351. The reversal of 116174777320 is 23777471611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6410512 + ... + 6428608.

It is an arithmetic number, because the mean of its divisors is an integer number (2367489870).

Almost surely, 2116174777320 is an apocalyptic number.

116174777320 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 116174777320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151519351680).

116174777320 is an abundant number, since it is smaller than the sum of its proper divisors (186863926040).

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

116174777320 is a wasteful number, since it uses less digits than its factorization.

116174777320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18443 (or 18439 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 46.

The spelling of 116174777320 in words is "one hundred sixteen billion, one hundred seventy-four million, seven hundred seventy-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 227 280 404 454 505 707 808 908 1010 1135 1414 1589 1816 2020 2270 2828 3178 3535 4040 4540 5656 6356 7070 7945 9080 12712 14140 15890 18097 22927 28280 31780 36194 45854 63560 72388 90485 91708 114635 126679 144776 160489 180970 183416 229270 253358 320978 361940 458540 506716 633395 641956 723880 802445 917080 1013432 1266790 1283912 1604890 1827797 2533580 3209780 3655594 4108019 5067160 6419560 7311188 8216038 9138985 12794579 14622376 16432076 18277970 20540095 25589158 28756133 32864152 36555940 41080190 51178316 57512266 63972895 73111880 82160380 102356632 115024532 127945790 143780665 164320760 230049064 255891580 287561330 414909919 511783160 575122660 829819838 1150245320 1659639676 2074549595 2904369433 3319279352 4149099190 5808738866 8298198380 11617477732 14521847165 16596396760 23234955464 29043694330 58087388660 116174777320