Search a number
-
+
51648722544 = 24331257135059
BaseRepresentation
bin110000000110100000…
…001111011001110000
311221022111011221202210
4300012200033121300
51321234033110134
635421015212120
73505621620006
oct600640173160
9157274157683
1051648722544
111a9a43a2771
12a015077040
134b415045b3
1426dd6a8a76
1515244ba2e9
hexc0680f670

51648722544 has 80 divisors (see below), whose sum is σ = 138266864640. Its totient is φ = 16595927040.

The previous prime is 51648722539. The next prime is 51648722597. The reversal of 51648722544 is 44522784615.

It is a super-3 number, since 3×516487225443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 51648722493 and 51648722502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314887 + ... + 449945.

It is an arithmetic number, because the mean of its divisors is an integer number (1728335808).

Almost surely, 251648722544 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 51648722544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69133432320).

51648722544 is an abundant number, since it is smaller than the sum of its proper divisors (86618142096).

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

51648722544 is a wasteful number, since it uses less digits than its factorization.

51648722544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135358 (or 135352 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The spelling of 51648722544 in words is "fifty-one billion, six hundred forty-eight million, seven hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 257 372 496 514 744 771 1028 1488 1542 2056 3084 4112 6168 7967 12336 15934 23901 31868 47802 63736 95604 127472 135059 191208 270118 382416 405177 540236 810354 1080472 1620708 2160944 3241416 4186829 6482832 8373658 12560487 16747316 25120974 33494632 34710163 50241948 66989264 69420326 100483896 104130489 138840652 200967792 208260978 277681304 416521956 555362608 833043912 1076015053 1666087824 2152030106 3228045159 4304060212 6456090318 8608120424 12912180636 17216240848 25824361272 51648722544