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11552430502304 = 25191311171123863
BaseRepresentation
bin1010100000011100001010…
…0001000011000110100000
31111220101211202002212112122
42220013002201003012200
53003233334202033204
640323040250243412
72301430666032206
oct250070241030640
944811752085478
1011552430502304
1137543a393584a
121366b31726568
1365a50aa19c93
142bd1d7c09076
1515078a2310be
hexa81c28431a0

11552430502304 has 96 divisors (see below), whose sum is σ = 24144442882560. Its totient is φ = 5425750137600.

The previous prime is 11552430502267. The next prime is 11552430502307. The reversal of 11552430502304 is 40320503425511.

It is not an unprimeable number, because it can be changed into a prime (11552430502307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93205877 + ... + 93329739.

It is an arithmetic number, because the mean of its divisors is an integer number (251504613360).

Almost surely, 211552430502304 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 11552430502304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12072221441280).

11552430502304 is an abundant number, since it is smaller than the sum of its proper divisors (12592012380256).

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

11552430502304 is a wasteful number, since it uses less digits than its factorization.

11552430502304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125194 (or 125186 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 11552430502304 its reverse (40320503425511), we get a palindrome (51872933927815).

The spelling of 11552430502304 in words is "eleven trillion, five hundred fifty-two billion, four hundred thirty million, five hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 131 152 262 304 524 608 1048 1171 2096 2342 2489 4192 4684 4978 9368 9956 18736 19912 22249 37472 39824 44498 79648 88996 123863 153401 177992 247726 306802 355984 495452 613604 711968 990904 1227208 1981808 2353397 2454416 2914619 3963616 4706794 4908832 5829238 9413588 11658476 16226053 18827176 23316952 32452106 37654352 46633904 64904212 75308704 93267808 129808424 145043573 259616848 290087146 308295007 519233696 580174292 616590014 1160348584 1233180028 2320697168 2466360056 2755827887 4641394336 4932720112 5511655774 9865440224 11023311548 19000708063 22046623096 38001416126 44093246192 76002832252 88186492384 152005664504 304011329008 361013453197 608022658016 722026906394 1444053812788 2888107625576 5776215251152 11552430502304