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116263950720 = 273578776943
BaseRepresentation
bin110110001000111011…
…1110001100110000000
3102010002122010122100220
41230101313301212000
53401102032410340
6125224431543040
711254062163311
oct1542167614600
9363078118326
10116263950720
1145341a72a95
121a64868aa80
13ac6b181218
1458ad0a0608
153056ebced0
hex1b11df1980

116263950720 has 128 divisors (see below), whose sum is σ = 371067056640. Its totient is φ = 30963922944.

The previous prime is 116263950697. The next prime is 116263950731. The reversal of 116263950720 is 27059362611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472569 + ... + 1549511.

It is an arithmetic number, because the mean of its divisors is an integer number (2898961380).

Almost surely, 2116263950720 is an apocalyptic number.

116263950720 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 116263950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185533528320).

116263950720 is an abundant number, since it is smaller than the sum of its proper divisors (254803105920).

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

116263950720 is an equidigital number, since it uses as much as digits as its factorization.

116263950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77752 (or 77740 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 116263950720 in words is "one hundred sixteen billion, two hundred sixty-three million, nine hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 787 960 1574 1920 2361 3148 3935 4722 6296 7870 9444 11805 12592 15740 18888 23610 25184 31480 37776 47220 50368 62960 75552 76943 94440 100736 125920 151104 153886 188880 230829 251840 302208 307772 377760 384715 461658 503680 615544 755520 769430 923316 1154145 1231088 1511040 1538860 1846632 2308290 2462176 3077720 3693264 4616580 4924352 6155440 7386528 9233160 9848704 12310880 14773056 18466320 24621760 29546112 36932640 49243520 60554141 73865280 121108282 147730560 181662423 242216564 302770705 363324846 484433128 605541410 726649692 908312115 968866256 1211082820 1453299384 1816624230 1937732512 2422165640 2906598768 3633248460 3875465024 4844331280 5813197536 7266496920 7750930048 9688662560 11626395072 14532993840 19377325120 23252790144 29065987680 38754650240 58131975360 116263950720