Search a number
-
+
52464016440 = 23335114416163
BaseRepresentation
bin110000110111000110…
…010101110000111000
312000102022022011202000
4300313012111300320
51324421242011230
640033541541000
73535051532103
oct606706256070
9160368264660
1052464016440
112028262a080
12a202114760
134c413b0814
142779a9573a
151570d63b60
hexc37195c38

52464016440 has 128 divisors (see below), whose sum is σ = 190778284800. Its totient is φ = 12718546560.

The previous prime is 52464016427. The next prime is 52464016441. The reversal of 52464016440 is 4461046425.

52464016440 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 4 + 0 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52464016395 and 52464016404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52464016441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196202 + ... + 2219961.

It is an arithmetic number, because the mean of its divisors is an integer number (1490455350).

Almost surely, 252464016440 is an apocalyptic number.

It is an amenable number.

52464016440 is an abundant number, since it is smaller than the sum of its proper divisors (138314268360).

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

52464016440 is a wasteful number, since it uses less digits than its factorization.

52464016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416194 (or 4416184 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 52464016440 in words is "fifty-two billion, four hundred sixty-four million, sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 4416163 8832326 13248489 17664652 22080815 26496978 35329304 39745467 44161630 48577793 52993956 66242445 79490934 88323260 97155586 105987912 119236401 132484890 145733379 158981868 176646520 194311172 198727335 238472802 242888965 264969780 291466758 317963736 388622344 397454670 437200137 476945604 485777930 529939560 582933516 596182005 728666895 794909340 874400274 953891208 971555860 1165867032 1192364010 1311600411 1457333790 1589818680 1748800548 1943111720 2186000685 2384728020 2623200822 2914667580 3497601096 4372001370 4769456040 5246401644 5829335160 6558002055 8744002740 10492803288 13116004110 17488005480 26232008220 52464016440