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13134014478 = 23213238311273
BaseRepresentation
bin11000011101101100…
…10010100000001110
31020220022222001202200
430032312102200032
5203344301430403
610011135302330
7643321165254
oct141666224016
936808861680
1013134014478
11562a899522
12266667a9a6
131314094800
148c84925d4
1551d0c4ca3
hex30ed9280e

13134014478 has 72 divisors (see below), whose sum is σ = 30897614592. Its totient is φ = 4030326144.

The previous prime is 13134014477. The next prime is 13134014519. The reversal of 13134014478 is 87441043131.

13134014478 is a `hidden beast` number, since 131 + 3 + 40 + 14 + 478 = 666.

It is a super-2 number, since 2×131340144782 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134014473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1159450 + ... + 1170722.

It is an arithmetic number, because the mean of its divisors is an integer number (429133536).

Almost surely, 213134014478 is an apocalyptic number.

13134014478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134014478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448807296).

13134014478 is an abundant number, since it is smaller than the sum of its proper divisors (17763600114).

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

13134014478 is a wasteful number, since it uses less digits than its factorization.

13134014478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690 (or 11674 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13134014478 in words is "thirteen billion, one hundred thirty-four million, fourteen thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 383 507 766 1014 1149 1521 2298 3042 3447 4979 6894 9958 11273 14937 22546 29874 33819 44811 64727 67638 89622 101457 129454 146549 194181 202914 293098 388362 439647 582543 879294 1165086 1318941 1905137 2637882 3810274 4317559 5715411 8635118 11430822 12952677 17146233 25905354 34292466 38858031 56128267 77716062 112256534 168384801 336769602 505154403 729667471 1010308806 1459334942 2189002413 4378004826 6567007239 13134014478