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9461472672 = 2531738315137
BaseRepresentation
bin10001100111111001…
…01001110110100000
3220102101102121111210
420303330221312200
5123334114111142
64202504110120
7453315122301
oct106374516640
926371377453
109461472672
114015833503
121a00765340
13b7a265c52
1465a81c7a8
153a598449c
hex233f29da0

9461472672 has 96 divisors (see below), whose sum is σ = 26367731712. Its totient is φ = 2960359424.

The previous prime is 9461472623. The next prime is 9461472679. The reversal of 9461472672 is 2762741649.

9461472672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9461472679) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 617488 + ... + 632624.

It is an arithmetic number, because the mean of its divisors is an integer number (274663872).

Almost surely, 29461472672 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 9461472672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13183865856).

9461472672 is an abundant number, since it is smaller than the sum of its proper divisors (16906259040).

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

9461472672 is a wasteful number, since it uses less digits than its factorization.

9461472672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15550 (or 15542 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 9461472672 is about 97270.1016345722. The cubic root of 9461472672 is about 2115.0448434288.

The spelling of 9461472672 in words is "nine billion, four hundred sixty-one million, four hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 383 408 544 766 816 1149 1532 1632 2298 3064 4596 6128 6511 9192 12256 13022 15137 18384 19533 26044 30274 36768 39066 45411 52088 60548 78132 90822 104176 121096 156264 181644 208352 242192 257329 312528 363288 484384 514658 625056 726576 771987 1029316 1453152 1543974 2058632 3087948 4117264 5797471 6175896 8234528 11594942 12351792 17392413 23189884 24703584 34784826 46379768 69569652 92759536 98557007 139139304 185519072 197114014 278278608 295671021 394228028 556557216 591342042 788456056 1182684084 1576912112 2365368168 3153824224 4730736336 9461472672