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134066077104 = 24329104991813
BaseRepresentation
bin111110011011011110…
…1011111110110110000
3110211001021222100211010
41330312331133312300
54144031403431404
6141331125150520
712454165565361
oct1746675376660
9424037870733
10134066077104
1151947895033
1221b9655b440
13c8473c030b
1466bb4ddb68
153749cdc189
hex1f36f5fdb0

134066077104 has 80 divisors (see below), whose sum is σ = 358625484000. Its totient is φ = 43106101248.

The previous prime is 134066077091. The next prime is 134066077109. The reversal of 134066077104 is 401770660431.

It is not an unprimeable number, because it can be changed into a prime (134066077109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1414302 + ... + 1506114.

It is an arithmetic number, because the mean of its divisors is an integer number (4482818550).

Almost surely, 2134066077104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134066077104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179312742000).

134066077104 is an abundant number, since it is smaller than the sum of its proper divisors (224559406896).

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

134066077104 is a wasteful number, since it uses less digits than its factorization.

134066077104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92902 (or 92896 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 134066077104 in words is "one hundred thirty-four billion, sixty-six million, seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1049 1392 2098 3147 4196 6294 8392 12588 16784 25176 30421 50352 60842 91263 91813 121684 182526 183626 243368 275439 365052 367252 486736 550878 730104 734504 1101756 1460208 1469008 2203512 2662577 4407024 5325154 7987731 10650308 15975462 21300616 31950924 42601232 63901848 96311837 127803696 192623674 288935511 385247348 577871022 770494696 1155742044 1540989392 2311484088 2793043273 4622968176 5586086546 8379129819 11172173092 16758259638 22344346184 33516519276 44688692368 67033038552 134066077104