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5972242104 = 2338113783
BaseRepresentation
bin1011000111111100…
…10010111010111000
3120102012211100000000
411203332102322320
544212343221404
62424341513000
7300666135363
oct54376227270
916365740000
105972242104
1125951a1984
1211a8112760
137423ca48a
144092650da
1524e4a3339
hex163f92eb8

5972242104 has 72 divisors (see below), whose sum is σ = 16796225160. Its totient is φ = 1990729872.

The previous prime is 5972242097. The next prime is 5972242121. The reversal of 5972242104 is 4012422795.

5972242104 is a `hidden beast` number, since 597 + 22 + 42 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4404 + ... + 109379.

It is an arithmetic number, because the mean of its divisors is an integer number (233280905).

Almost surely, 25972242104 is an apocalyptic number.

5972242104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5972242104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398112580).

5972242104 is an abundant number, since it is smaller than the sum of its proper divisors (10823983056).

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

5972242104 is an equidigital number, since it uses as much as digits as its factorization.

5972242104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113813 (or 113788 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5972242104 is about 77280.2827634578. The cubic root of 5972242104 is about 1814.3140690596.

Adding to 5972242104 its reverse (4012422795), we get a palindrome (9984664899).

The spelling of 5972242104 in words is "five billion, nine hundred seventy-two million, two hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488 113783 227566 341349 455132 682698 910264 1024047 1365396 2048094 2730792 3072141 4096188 6144282 8192376 9216423 12288564 18432846 24577128 27649269 36865692 55298538 73731384 82947807 110597076 165895614 221194152 248843421 331791228 497686842 663582456 746530263 995373684 1493060526 1990747368 2986121052 5972242104