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116256775392 = 253553282089
BaseRepresentation
bin110110001000101110…
…0011001110011100000
3102010002010122002200000
41230101130121303200
53401043213303032
6125224014100000
711253644200062
oct1542134316340
9363063562600
10116256775392
1145338a1206a
121a6461aa600
13ac6983b274
1458ac153732
153056551e7c
hex1b11719ce0

116256775392 has 144 divisors (see below), whose sum is σ = 349319945520. Its totient is φ = 38020948992.

The previous prime is 116256775363. The next prime is 116256775409. The reversal of 116256775392 is 293577652611.

It is a happy number.

116256775392 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 567 + 75 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 271084 + ... + 553172.

It is an arithmetic number, because the mean of its divisors is an integer number (2425832955).

Almost surely, 2116256775392 is an apocalyptic number.

116256775392 is a gapful number since it is divisible by the number (12) 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 116256775392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174659972760).

116256775392 is an abundant number, since it is smaller than the sum of its proper divisors (233063170128).

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

116256775392 is an equidigital number, since it uses as much as digits as its factorization.

116256775392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282167 (or 282147 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 116256775392 in words is "one hundred sixteen billion, two hundred fifty-six million, seven hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 243 288 318 324 424 432 477 486 636 648 848 864 954 972 1272 1296 1431 1696 1908 1944 2544 2592 2862 3816 3888 4293 5088 5724 7632 7776 8586 11448 12879 15264 17172 22896 25758 34344 45792 51516 68688 103032 137376 206064 282089 412128 564178 846267 1128356 1692534 2256712 2538801 3385068 4513424 5077602 6770136 7616403 9026848 10155204 13540272 14950717 15232806 20310408 22849209 27080544 29901434 30465612 40620816 44852151 45698418 59802868 60931224 68547627 81241632 89704302 91396836 119605736 121862448 134556453 137095254 179408604 182793672 239211472 243724896 269112906 274190508 358817208 365587344 403669359 478422944 538225812 548381016 717634416 731174688 807338718 1076451624 1096762032 1211008077 1435268832 1614677436 2152903248 2193524064 2422016154 3229354872 3633024231 4305806496 4844032308 6458709744 7266048462 9688064616 12917419488 14532096924 19376129232 29064193848 38752258464 58128387696 116256775392