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6261248916 = 2233135384143
BaseRepresentation
bin1011101010011001…
…10001001110010100
3121011100122101211000
411311030301032110
5100310334431131
62513144143300
7311105511006
oct56514611624
917140571730
106261248916
112723347a8a
121268a67b30
1378a249620
144357b6376
15269a3ece6
hex175331394

6261248916 has 96 divisors (see below), whose sum is σ = 17811601920. Its totient is φ = 1890165888.

The previous prime is 6261248911. The next prime is 6261248927. The reversal of 6261248916 is 6198421626.

6261248916 is a `hidden beast` number, since 626 + 1 + 2 + 4 + 8 + 9 + 16 = 666.

It is a super-2 number, since 2×62612489162 = 78406475976222350112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6261248911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32341 + ... + 116483.

It is an arithmetic number, because the mean of its divisors is an integer number (185537520).

Almost surely, 26261248916 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 6261248916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905800960).

6261248916 is an abundant number, since it is smaller than the sum of its proper divisors (11550353004).

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

6261248916 is a wasteful number, since it uses less digits than its factorization.

6261248916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84222 (or 84214 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6261248916 is about 79128.0539126295. The cubic root of 6261248916 is about 1843.1201899410.

The spelling of 6261248916 in words is "six billion, two hundred sixty-one million, two hundred forty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 318 351 468 477 636 689 702 954 1378 1404 1431 1908 2067 2756 2862 4134 5724 6201 8268 12402 18603 24804 37206 74412 84143 168286 252429 336572 504858 757287 1009716 1093859 1514574 2187718 2271861 3029148 3281577 4375436 4459579 4543722 6563154 8919158 9087444 9844731 13126308 13378737 17838316 19689462 26757474 29534193 39378924 40136211 53514948 57974527 59068386 80272422 115949054 118136772 120408633 160544844 173923581 231898108 240817266 347847162 481634532 521770743 695694324 1043541486 1565312229 2087082972 3130624458 6261248916