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6091205472 = 2532112966301
BaseRepresentation
bin1011010110001000…
…00110101101100000
3120201111200022001200
411223010012231200
544433322033342
62444231401200
7303642251352
oct55304065540
916644608050
106091205472
112646365910
12121bb23200
13760c505c1
1441ad910d2
15259b5194c
hex16b106b60

6091205472 has 144 divisors (see below), whose sum is σ = 19548481680. Its totient is φ = 1782144000.

The previous prime is 6091205453. The next prime is 6091205521. The reversal of 6091205472 is 2745021906.

6091205472 is a `hidden beast` number, since 6 + 0 + 91 + 20 + 547 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58722 + ... + 125022.

It is an arithmetic number, because the mean of its divisors is an integer number (135753345).

Almost surely, 26091205472 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 6091205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774240840).

6091205472 is an abundant number, since it is smaller than the sum of its proper divisors (13457276208).

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

6091205472 is a wasteful number, since it uses less digits than its factorization.

6091205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66357 (or 66346 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6091205472 is about 78046.1752554217. The cubic root of 6091205472 is about 1826.2816265059.

The spelling of 6091205472 in words is "six billion, ninety-one million, two hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1584 1914 2088 2552 2784 2871 3168 3828 4176 5104 5742 7656 8352 10208 11484 15312 22968 30624 45936 66301 91872 132602 198903 265204 397806 530408 596709 729311 795612 1060816 1193418 1458622 1591224 1922729 2121632 2187933 2386836 2917244 3182448 3845458 4375866 4773672 5768187 5834488 6364896 6563799 7690916 8751732 9547344 11536374 11668976 13127598 15381832 17304561 17503464 19094688 21150019 23072748 23337952 26255196 30763664 34609122 35006928 42300038 46145496 52510392 61527328 63450057 69218244 70013856 84600076 92290992 105020784 126900114 138436488 169200152 184581984 190350171 210041568 253800228 276872976 338400304 380700342 507600456 553745952 676800608 761400684 1015200912 1522801368 2030401824 3045602736 6091205472