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51062440900 = 22525923832
BaseRepresentation
bin101111100011100011…
…110000001111000100
311212210121222202112211
4233203203300033010
51314033441102100
635242513153204
73455242405042
oct574343601704
9155717882484
1051062440900
111a723464689
129a9085b804
134a79bccb93
142685893392
1514dccac1ba
hexbe38f03c4

51062440900 has 81 divisors (see below), whose sum is σ = 113010451981. Its totient is φ = 20026365280.

The previous prime is 51062440879. The next prime is 51062440937. The reversal of 51062440900 is 904426015.

The square root of 51062440900 is 225970.

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

51062440900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18382478724 + 32679962176 = 135582^2 + 180776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 133322109 + ... + 133322491.

Almost surely, 251062440900 is an apocalyptic number.

51062440900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51062440900 is the 225970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51062440900

51062440900 is an abundant number, since it is smaller than the sum of its proper divisors (61948011081).

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

51062440900 is an equidigital number, since it uses as much as digits as its factorization.

51062440900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 51062440900 its reverse (904426015), we get a palindrome (51966866915).

The spelling of 51062440900 in words is "fifty-one billion, sixty-two million, four hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 383 590 766 1180 1475 1532 1915 2950 3481 3830 5900 6962 7660 9575 13924 17405 19150 22597 34810 38300 45194 69620 87025 90388 112985 146689 174050 225970 293378 348100 451940 564925 586756 733445 1129850 1333223 1466890 2259700 2666446 2933780 3667225 5332892 6666115 7334450 8654651 13332230 14668900 17309302 26664460 33330575 34618604 43273255 66661150 86546510 133322300 173093020 216366275 432732550 510624409 865465100 1021248818 2042497636 2553122045 5106244090 10212488180 12765610225 25531220450 51062440900