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49788781956 = 2232371892
BaseRepresentation
bin101110010111101001…
…001000010110000100
311202111212101011221100
4232113221020112010
51303431412010311
634512254220100
73411545443464
oct562751102604
9152455334840
1049788781956
111a12a518891
1297961b4630
134906088634
1425a466bba4
151466071a56
hexb97a48584

49788781956 has 27 divisors (see below), whose sum is σ = 125858360901. Its totient is φ = 16595814384.

The previous prime is 49788781949. The next prime is 49788781963. The reversal of 49788781956 is 65918788794.

The square root of 49788781956 is 223134.

It is a perfect power (a square), and thus also a powerful number.

49788781956 is a `hidden beast` number, since 497 + 8 + 8 + 7 + 81 + 9 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (49788781949) and next prime (49788781963).

It can be written as a sum of positive squares in only one way, i.e., 44127724356 + 5661057600 = 210066^2 + 75240^2 .

It is a super-3 number, since 3×497887819563 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1320210 + ... + 1357398.

Almost surely, 249788781956 is an apocalyptic number.

49788781956 is the 223134-th square number.

It is an amenable number.

49788781956 is an abundant number, since it is smaller than the sum of its proper divisors (76069578945).

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

49788781956 is an frugal number, since it uses more digits than its factorization.

49788781956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74388 (or 37194 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 72.

It can be divided in two parts, 49788 and 781956, that added together give a square (831744 = 9122).

The spelling of 49788781956 in words is "forty-nine billion, seven hundred eighty-eight million, seven hundred eighty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37189 74378 111567 148756 223134 334701 446268 669402 1338804 1383021721 2766043442 4149065163 5532086884 8298130326 12447195489 16596260652 24894390978 49788781956