Search a number
-
+
6419210112 = 273272113719
BaseRepresentation
bin1011111101001110…
…10101111110000000
3121120100212122211200
411332213111332000
5101121304210422
62540545541200
7315034246200
oct57647257600
917510778750
106419210112
1127a4527627
1212b1944800
137b3ba50a3
1444c774400
152788432ac
hex17e9d5f80

6419210112 has 144 divisors (see below), whose sum is σ = 21487962600. Its totient is φ = 1834043904.

The previous prime is 6419210107. The next prime is 6419210159. The reversal of 6419210112 is 2110129146.

6419210112 is a `hidden beast` number, since 641 + 9 + 2 + 1 + 0 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 412 + ... + 113307.

Almost surely, 26419210112 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 6419210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743981300).

6419210112 is an abundant number, since it is smaller than the sum of its proper divisors (15068752488).

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

6419210112 is a wasteful number, since it uses less digits than its factorization.

6419210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113753 (or 113731 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6419210112 is about 80119.9732401353. The cubic root of 6419210112 is about 1858.4912913080.

Adding to 6419210112 its reverse (2110129146), we get a palindrome (8529339258).

The spelling of 6419210112 in words is "six billion, four hundred nineteen million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 113719 227438 341157 454876 682314 796033 909752 1023471 1364628 1592066 1819504 2046942 2388099 2729256 3184132 3639008 4093884 4776198 5458512 5572231 6368264 7164297 7278016 8187768 9552396 10917024 11144462 12736528 14328594 14556032 16375536 16716693 19104792 21834048 22288924 25473056 28657188 32751072 33433386 38209584 43668096 44577848 50150079 50946112 57314376 65502144 66866772 76419168 89155696 100300158 101892224 114628752 131004288 133733544 152838336 178311392 200600316 229257504 267467088 305676672 356622784 401200632 458515008 534934176 713245568 802401264 917030016 1069868352 1604802528 2139736704 3209605056 6419210112