Search a number
-
+
116779414392 = 233319223127601
BaseRepresentation
bin110110011000010011…
…0000111001101111000
3102011102120001220121000
41230300212013031320
53403131012230032
6125351524045000
711302621433664
oct1546046071570
9364376056530
10116779414392
1145586a31523
121a771233760
13b020bbba04
14591b71d8a4
15308738ce7c
hex1b30987378

116779414392 has 128 divisors (see below), whose sum is σ = 342994176000. Its totient is φ = 36712051200.

The previous prime is 116779414379. The next prime is 116779414397. The reversal of 116779414392 is 293414977611.

116779414392 is a `hidden beast` number, since 1 + 167 + 7 + 9 + 41 + 439 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116779414397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851392 + ... + 978992.

It is an arithmetic number, because the mean of its divisors is an integer number (2679642000).

Almost surely, 2116779414392 is an apocalyptic number.

116779414392 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 116779414392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171497088000).

116779414392 is an abundant number, since it is smaller than the sum of its proper divisors (226214761608).

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

116779414392 is a wasteful number, since it uses less digits than its factorization.

116779414392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127858 (or 127848 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 116779414392 in words is "one hundred sixteen billion, seven hundred seventy-nine million, four hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 223 228 342 446 456 513 669 684 892 1026 1338 1368 1784 2007 2052 2676 4014 4104 4237 5352 6021 8028 8474 12042 12711 16056 16948 24084 25422 33896 38133 48168 50844 76266 101688 114399 127601 152532 228798 255202 305064 382803 457596 510404 765606 915192 1020808 1148409 1531212 2296818 2424419 3062424 3445227 4593636 4848838 6890454 7273257 9187272 9697676 13780908 14546514 19395352 21819771 27561816 28455023 29093028 43639542 56910046 58186056 65459313 85365069 87279084 113820092 130918626 170730138 174558168 227640184 256095207 261837252 341460276 512190414 523674504 540645437 682920552 768285621 1024380828 1081290874 1536571242 1621936311 2048761656 2162581748 3073142484 3243872622 4325163496 4865808933 6146284968 6487745244 9731617866 12975490488 14597426799 19463235732 29194853598 38926471464 58389707196 116779414392