Search a number
-
+
5345199216 = 243277174687
BaseRepresentation
bin1001111101001100…
…10100010001110000
3111210111221020212100
410332212110101300
541421332333331
62242222100400
7246313305120
oct47646242160
914714836770
105345199216
1122a3253315
12105211a700
13672523896
14389c7cc80
152143e2ae6
hex13e994470

5345199216 has 120 divisors (see below), whose sum is σ = 17337176064. Its totient is φ = 1505669760.

The previous prime is 5345199203. The next prime is 5345199217. The reversal of 5345199216 is 6129915435.

5345199216 is a `hidden beast` number, since 5 + 34 + 519 + 92 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345199217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34225 + ... + 108911.

Almost surely, 25345199216 is an apocalyptic number.

5345199216 is a gapful number since it is divisible by the number (56) 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 5345199216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668588032).

5345199216 is an abundant number, since it is smaller than the sum of its proper divisors (11991976848).

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

5345199216 is a wasteful number, since it uses less digits than its factorization.

5345199216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74779 (or 74770 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 5345199216 is about 73110.8693423898. The cubic root of 5345199216 is about 1748.4556951375.

The spelling of 5345199216 in words is "five billion, three hundred forty-five million, one hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23856 35784 71568 74687 149374 224061 298748 448122 522809 597496 672183 896244 1045618 1194992 1344366 1568427 1792488 2091236 2688732 3136854 3584976 4182472 4705281 5302777 5377464 6273708 8364944 9410562 10605554 10754928 12547416 15908331 18821124 21211108 25094832 31816662 37119439 37642248 42422216 47724993 63633324 74238878 75284496 84844432 95449986 111358317 127266648 148477756 190899972 222716634 254533296 296955512 334074951 381799944 445433268 593911024 668149902 763599888 890866536 1336299804 1781733072 2672599608 5345199216