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6093421272 = 2332619714303
BaseRepresentation
bin1011010110011001…
…00011101011011000
3120201122211212120100
411223030203223120
544434403440042
62444351055400
7304000140411
oct55314435330
916648755510
106093421272
112647639654
121220811560
13761548023
1441b3aa808
15259e3d24c
hex16b323ad8

6093421272 has 96 divisors (see below), whose sum is σ = 16947665280. Its totient is φ = 1977108480.

The previous prime is 6093421261. The next prime is 6093421273. The reversal of 6093421272 is 2721243906.

6093421272 is a `hidden beast` number, since 609 + 3 + 4 + 21 + 27 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6093421273) 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 23 ways as a sum of consecutive naturals, for example, 418873 + ... + 433175.

It is an arithmetic number, because the mean of its divisors is an integer number (176538180).

Almost surely, 26093421272 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 6093421272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473832640).

6093421272 is an abundant number, since it is smaller than the sum of its proper divisors (10854244008).

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

6093421272 is a wasteful number, since it uses less digits than its factorization.

6093421272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14473 (or 14466 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6093421272 is about 78060.3694072735. The cubic root of 6093421272 is about 1826.5030486999.

The spelling of 6093421272 in words is "six billion, ninety-three million, four hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 97 122 183 194 244 291 366 388 488 549 582 732 776 873 1098 1164 1464 1746 2196 2328 3492 4392 5917 6984 11834 14303 17751 23668 28606 35502 42909 47336 53253 57212 71004 85818 106506 114424 128727 142008 171636 213012 257454 343272 426024 514908 872483 1029816 1387391 1744966 2617449 2774782 3489932 4162173 5234898 5549564 6979864 7852347 8324346 10469796 11099128 12486519 15704694 16648692 20939592 24973038 31409388 33297384 49946076 62818776 84630851 99892152 169261702 253892553 338523404 507785106 677046808 761677659 1015570212 1523355318 2031140424 3046710636 6093421272