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134790480036 = 223273213724001
BaseRepresentation
bin111110110001000100…
…0111000000010100100
3110212220210001211211100
41331202020320002210
54202022330330121
6141531043440100
712511143114312
oct1754210700244
9425823054740
10134790480036
1152189791743
1222159086030
13c9314c4bc4
1467497cb0b2
15378d6d0026
hex1f622380a4

134790480036 has 72 divisors (see below), whose sum is σ = 345563802584. Its totient is φ = 44292096000.

The previous prime is 134790480007. The next prime is 134790480049. The reversal of 134790480036 is 630084097431.

134790480036 is a `hidden beast` number, since 13 + 47 + 90 + 480 + 0 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60372900 + 134730107136 = 7770^2 + 367056^2 .

It is a super-2 number, since 2×1347904800362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134790479973 and 134790480000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5604036 + ... + 5628036.

Almost surely, 2134790480036 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 134790480036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172781901292).

134790480036 is an abundant number, since it is smaller than the sum of its proper divisors (210773322548).

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

134790480036 is a wasteful number, since it uses less digits than its factorization.

134790480036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26221 (or 26216 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134790480036 in words is "one hundred thirty-four billion, seven hundred ninety million, four hundred eighty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2137 2628 4274 6411 8548 12822 19233 24001 25644 38466 48002 72003 76932 96004 144006 156001 216009 288012 312002 432018 468003 624004 864036 936006 1404009 1752073 1872012 2808018 3504146 5256219 5616036 7008292 10512438 15768657 21024876 31537314 51290137 63074628 102580274 153870411 205160548 307740822 461611233 615481644 923222466 1846444932 3744180001 7488360002 11232540003 14976720004 22465080006 33697620009 44930160012 67395240018 134790480036