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5348261962656 = 253273312533127
BaseRepresentation
bin100110111010011110101…
…0000010010001110100000
3200221021210120102212202200
41031310331100102032200
51200111220030301111
615212542503013200
71061253626413134
oct115647520221640
920837716385680
105348261962656
1117822044a3708
1272464213a200
132ca453858c12
14146c004713c4
15941c1dab256
hex4dd3d4123a0

5348261962656 has 72 divisors (see below), whose sum is σ = 15211200592224. Its totient is φ = 1782510103680.

The previous prime is 5348261962559. The next prime is 5348261962669. The reversal of 5348261962656 is 6562691628435.

5348261962656 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 2 + 619 + 6 + 2 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5348261962593 and 5348261962602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 844765 + ... + 3377891.

It is an arithmetic number, because the mean of its divisors is an integer number (211266674892).

Almost surely, 25348261962656 is an apocalyptic number.

It is an amenable number.

5348261962656 is an abundant number, since it is smaller than the sum of its proper divisors (9862938629568).

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

5348261962656 is a wasteful number, since it uses less digits than its factorization.

5348261962656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540474 (or 2540463 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 5348261962656 in words is "five trillion, three hundred forty-eight billion, two hundred sixty-one million, nine hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7331 14662 21993 29324 43986 58648 65979 87972 117296 131958 175944 234592 263916 351888 527832 703776 1055664 2111328 2533127 5066254 7599381 10132508 15198762 20265016 22798143 30397524 40530032 45596286 60795048 81060064 91192572 121590096 182385144 243180192 364770288 729540576 18570354037 37140708074 55711062111 74281416148 111422124222 148562832296 167133186333 222844248444 297125664592 334266372666 445688496888 594251329184 668532745332 891376993776 1337065490664 1782753987552 2674130981328 5348261962656