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6253049376 = 2532723134857
BaseRepresentation
bin1011101001011010…
…11111011000100000
3121010210012211011100
411310231133120200
5100301240040001
62512252314400
7310646020440
oct56455373040
917123184140
106253049376
112719757602
121266172a00
13788638422
14434680120
15268e70586
hex174b5f620

6253049376 has 144 divisors (see below), whose sum is σ = 21206150784. Its totient is φ = 1708895232.

The previous prime is 6253049323. The next prime is 6253049417. The reversal of 6253049376 is 6739403526.

6253049376 is a `hidden beast` number, since 6 + 2 + 530 + 49 + 3 + 76 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21061 + ... + 113796.

It is an arithmetic number, because the mean of its divisors is an integer number (147264936).

Almost surely, 26253049376 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 6253049376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10603075392).

6253049376 is an abundant number, since it is smaller than the sum of its proper divisors (14953101408).

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

6253049376 is a wasteful number, since it uses less digits than its factorization.

6253049376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134903 (or 134892 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 6253049376 is about 79076.2250995835. The cubic root of 6253049376 is about 1842.3152738724.

The spelling of 6253049376 in words is "six billion, two hundred fifty-three million, forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 134857 269714 404571 539428 809142 943999 1078856 1213713 1618284 1887998 2157712 2427426 2831997 3101711 3236568 3775996 4315424 4854852 5663994 6203422 6473136 7551992 8495991 9305133 9709704 11327988 12406844 12946272 15103984 16991982 18610266 19419408 21711977 22655976 24813688 27915399 30207968 33983964 37220532 38838816 43423954 45311952 49627376 55830798 65135931 67967928 74441064 86847908 90623904 99254752 111661596 130271862 135935856 148882128 173695816 195407793 223323192 260543724 271871712 297764256 347391632 390815586 446646384 521087448 694783264 781631172 893292768 1042174896 1563262344 2084349792 3126524688 6253049376