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116408959488 = 2936311881
BaseRepresentation
bin110110001101010000…
…0111100001000000000
3102010110201222212000000
41230122200330020000
53401401143200423
6125251052000000
711260502554353
oct1543240741000
9363421885000
10116408959488
1145406906248
121a689160000
13ac92223323
1458c444a29a
153064ab3843
hex1b1a83c200

116408959488 has 140 divisors (see below), whose sum is σ = 348727427598. Its totient is φ = 38802862080.

The previous prime is 116408959391. The next prime is 116408959489. The reversal of 116408959488 is 884959804611.

116408959488 is a `hidden beast` number, since 1 + 1 + 64 + 0 + 8 + 95 + 9 + 488 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99724587264 + 16684372224 = 315792^2 + 129168^2 .

It is not an unprimeable number, because it can be changed into a prime (116408959489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 217308 + ... + 529188.

Almost surely, 2116408959488 is an apocalyptic number.

116408959488 is a gapful number since it is divisible by the number (18) 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 116408959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363713799).

116408959488 is an abundant number, since it is smaller than the sum of its proper divisors (232318468110).

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

116408959488 is an frugal number, since it uses more digits than its factorization.

116408959488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311917 (or 311886 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 116408959488 in words is "one hundred sixteen billion, four hundred eight million, nine hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 31104 41472 46656 62208 93312 124416 186624 311881 373248 623762 935643 1247524 1871286 2495048 2806929 3742572 4990096 5613858 7485144 8420787 9980192 11227716 14970288 16841574 19960384 22455432 25262361 29940576 33683148 39920768 44910864 50524722 59881152 67366296 75787083 79841536 89821728 101049444 119762304 134732592 151574166 159683072 179643456 202098888 227361249 239524608 269465184 303148332 359286912 404197776 454722498 479049216 538930368 606296664 718573824 808395552 909444996 1077860736 1212593328 1437147648 1616791104 1818889992 2155721472 2425186656 3233582208 3637779984 4311442944 4850373312 6467164416 7275559968 9700746624 12934328832 14551119936 19401493248 29102239872 38802986496 58204479744 116408959488