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2465181056 = 271343131263
BaseRepresentation
bin1001001011101111…
…1010110110000000
320100210200011200002
42102323322312000
520022041243211
61044341215132
7115042456532
oct22273726600
96323604602
102465181056
111055592018
125897014a8
1330395ac20
14195589852
15e664e03b
hex92efad80

2465181056 has 128 divisors (see below), whose sum is σ = 5473923840. Its totient is φ = 1098639360.

The previous prime is 2465181031. The next prime is 2465181073. The reversal of 2465181056 is 6501815642.

It is a happy number.

2465181056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×24651810562 = 12154235277722550272, which contains 22 as substring.

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, 9373181 + ... + 9373443.

It is an arithmetic number, because the mean of its divisors is an integer number (42765030).

Almost surely, 22465181056 is an apocalyptic number.

2465181056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736961920).

2465181056 is an abundant number, since it is smaller than the sum of its proper divisors (3008742784).

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

2465181056 is a wasteful number, since it uses less digits than its factorization.

2465181056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 2465181056 is about 49650.5896843129. The cubic root of 2465181056 is about 1350.8784508523.

Adding to 2465181056 its reverse (6501815642), we get a palindrome (8966996698).

The spelling of 2465181056 in words is "two billion, four hundred sixty-five million, one hundred eighty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 131 172 208 262 263 344 416 524 526 559 688 832 1048 1052 1118 1376 1664 1703 2096 2104 2236 2752 3406 3419 4192 4208 4472 5504 5633 6812 6838 8384 8416 8944 11266 11309 13624 13676 16768 16832 17888 22532 22618 27248 27352 33664 34453 35776 45064 45236 54496 54704 68906 71552 73229 90128 90472 108992 109408 137812 146458 147017 180256 180944 217984 218816 275624 292916 294034 360512 361888 437632 447889 551248 585832 588068 721024 723776 895778 1102496 1171664 1176136 1447552 1481479 1791556 2204992 2343328 2352272 2962958 3583112 4409984 4686656 4704544 5925916 7166224 9373312 9409088 11851832 14332448 18818176 19259227 23703664 28664896 38518454 47407328 57329792 77036908 94814656 154073816 189629312 308147632 616295264 1232590528 2465181056