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116657000000 = 2656116657
BaseRepresentation
bin110110010100101001…
…1001000111001000000
3102011010000201121121122
41230221103020321000
53402403143000000
6125331432211412
711266604065502
oct1545123107100
9364100647548
10116657000000
1145523920802
121a738239b68
13b00172ab68
145909375d72
15307b75c085
hex1b294c8e40

116657000000 has 98 divisors (see below), whose sum is σ = 289362819546. Its totient is φ = 46662400000.

The previous prime is 116656999993. The next prime is 116657000021. The reversal of 116657000000 is 756611.

It can be written as a sum of positive squares in 7 ways, for example, as 97663750144 + 18993249856 = 312512^2 + 137816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 941672 + ... + 1058328.

Almost surely, 2116657000000 is an apocalyptic number.

116657000000 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 116657000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144681409773).

116657000000 is an abundant number, since it is smaller than the sum of its proper divisors (172705819546).

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

116657000000 is an frugal number, since it uses more digits than its factorization.

116657000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116699 (or 116664 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

Adding to 116657000000 its reverse (756611), we get a palindrome (116657756611).

The spelling of 116657000000 in words is "one hundred sixteen billion, six hundred fifty-seven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 116657 125000 200000 233314 250000 466628 500000 583285 933256 1000000 1166570 1866512 2333140 2916425 3733024 4666280 5832850 7466048 9332560 11665700 14582125 18665120 23331400 29164250 37330240 46662800 58328500 72910625 93325600 116657000 145821250 186651200 233314000 291642500 364553125 466628000 583285000 729106250 933256000 1166570000 1458212500 1822765625 2333140000 2916425000 3645531250 4666280000 5832850000 7291062500 11665700000 14582125000 23331400000 29164250000 58328500000 116657000000