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5983742352 = 2437194192237
BaseRepresentation
bin1011001001010100…
…01010100110010000
3120110000110121101010
411210222022212100
544223314223402
62425432210520
7301165653660
oct54452124620
916400417333
105983742352
1125a0737215
1211abb39a40
137448c5b63
1440a9ba1a0
152504c5a6c
hex164a8a990

5983742352 has 160 divisors (see below), whose sum is σ = 18648806400. Its totient is φ = 1615071744.

The previous prime is 5983742351. The next prime is 5983742389. The reversal of 5983742352 is 2532473895.

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 (5983742351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673778 + ... + 2676014.

It is an arithmetic number, because the mean of its divisors is an integer number (116555040).

Almost surely, 25983742352 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 5983742352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9324403200).

5983742352 is an abundant number, since it is smaller than the sum of its proper divisors (12665064048).

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

5983742352 is a wasteful number, since it uses less digits than its factorization.

5983742352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2687 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 5983742352 is about 77354.6530727144. The cubic root of 5983742352 is about 1815.4778800699.

The spelling of 5983742352 in words is "five billion, nine hundred eighty-three million, seven hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 419 456 532 798 838 912 1064 1257 1596 1676 2128 2237 2514 2933 3192 3352 4474 5028 5866 6384 6704 6711 7961 8799 8948 10056 11732 13422 15659 15922 17598 17896 20112 23464 23883 26844 31318 31844 35196 35792 42503 46928 46977 47766 53688 55727 62636 63688 70392 85006 93954 95532 107376 111454 125272 127376 127509 140784 167181 170012 187908 191064 222908 250544 255018 297521 334362 340024 375816 382128 445816 510036 595042 668724 680048 751632 891632 892563 937303 1020072 1190084 1337448 1785126 1874606 2040144 2380168 2674896 2811909 3570252 3749212 4760336 5623818 6561121 7140504 7498424 11247636 13122242 14281008 14996848 17808757 19683363 22495272 26244484 35617514 39366726 44990544 52488968 53426271 71235028 78733452 104977936 106852542 124661299 142470056 157466904 213705084 249322598 284940112 314933808 373983897 427410168 498645196 747967794 854820336 997290392 1495935588 1994580784 2991871176 5983742352