Search a number
-
+
2774164512 = 253713730133
BaseRepresentation
bin1010010101011010…
…0110010000100000
321011100002011021210
42211112212100200
521140141231022
61135135550120
7125514003120
oct24526462040
97140064253
102774164512
1111a3a41949
1265508b340
13352982982
141c461ac80
15113834a0c
hexa55a6420

2774164512 has 96 divisors (see below), whose sum is σ = 8383519872. Its totient is φ = 786806784.

The previous prime is 2774164507. The next prime is 2774164529. The reversal of 2774164512 is 2154614772.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76998 + ... + 107130.

It is an arithmetic number, because the mean of its divisors is an integer number (87328332).

Almost surely, 22774164512 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 2774164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191759936).

2774164512 is an abundant number, since it is smaller than the sum of its proper divisors (5609355360).

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

2774164512 is a wasteful number, since it uses less digits than its factorization.

2774164512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30290 (or 30282 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 2774164512 is about 52670.3380661260. The cubic root of 2774164512 is about 1405.1113350897. Note that the first 3 decimals are identical.

The spelling of 2774164512 in words is "two billion, seven hundred seventy-four million, one hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 11508 13152 15344 23016 30133 30688 46032 60266 90399 92064 120532 180798 210931 241064 361596 421862 482128 632793 723192 843724 964256 1265586 1446384 1687448 2531172 2892768 3374896 4128221 5062344 6749792 8256442 10124688 12384663 16512884 20249376 24769326 28897547 33025768 49538652 57795094 66051536 86692641 99077304 115590188 132103072 173385282 198154608 231180376 346770564 396309216 462360752 693541128 924721504 1387082256 2774164512