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134328967992 = 233213728148463
BaseRepresentation
bin111110100011010100…
…0010110001100111000
3110211201121122121022200
41331012220112030320
54200101203433432
6141413155550200
712463540250202
oct1750650261470
9424647577280
10134328967992
1151a7222292a
122204a5bb360
13c8899c735b
1467043b3772
153762e1aa7c
hex1f46a16338

134328967992 has 96 divisors (see below), whose sum is σ = 367774879680. Its totient is φ = 44290391040.

The previous prime is 134328967963. The next prime is 134328968009. The reversal of 134328967992 is 299769823431.

134328967992 is a `hidden beast` number, since 1 + 343 + 289 + 6 + 7 + 9 + 9 + 2 = 666.

It is a congruent number.

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, 2747553 + ... + 2796015.

It is an arithmetic number, because the mean of its divisors is an integer number (3830988330).

Almost surely, 2134328967992 is an apocalyptic number.

134328967992 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 134328967992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183887439840).

134328967992 is an abundant number, since it is smaller than the sum of its proper divisors (233445911688).

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

134328967992 is a wasteful number, since it uses less digits than its factorization.

134328967992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48893 (or 48886 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 134328967992 in words is "one hundred thirty-four billion, three hundred twenty-eight million, nine hundred sixty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 281 411 548 562 822 843 1096 1124 1233 1644 1686 2248 2466 2529 3288 3372 4932 5058 6744 9864 10116 20232 38497 48463 76994 96926 115491 145389 153988 193852 230982 290778 307976 346473 387704 436167 461964 581556 692946 872334 923928 1163112 1385892 1744668 2771784 3489336 6639431 13278862 13618103 19918293 26557724 27236206 39836586 40854309 53115448 54472412 59754879 79673172 81708618 108944824 119509758 122562927 159346344 163417236 239019516 245125854 326834472 478039032 490251708 980503416 1865680111 3731360222 5597040333 7462720444 11194080666 14925440888 16791120999 22388161332 33582241998 44776322664 67164483996 134328967992