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11528453400 = 2335224777757
BaseRepresentation
bin10101011110010011…
…00011110100011000
31002202102211010000120
422233021203310120
5142102241002100
65143542433240
7555454144212
oct125711436430
932672733016
1011528453400
114986569742
122298a32820
131119562779
147b51515b2
154771780a0
hex2af263d18

11528453400 has 96 divisors (see below), whose sum is σ = 35757242640. Its totient is φ = 3072616960.

The previous prime is 11528453371. The next prime is 11528453411. The reversal of 11528453400 is 435482511.

11528453400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1482322 + ... + 1490078.

Almost surely, 211528453400 is an apocalyptic number.

11528453400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11528453400 is an abundant number, since it is smaller than the sum of its proper divisors (24228789240).

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

11528453400 is a wasteful number, since it uses less digits than its factorization.

11528453400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10253 (or 10244 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 11528453400 in words is "eleven billion, five hundred twenty-eight million, four hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2477 4954 7431 7757 9908 12385 14862 15514 19816 23271 24770 29724 31028 37155 38785 46542 49540 59448 61925 62056 74310 77570 93084 99080 116355 123850 148620 155140 185775 186168 193925 232710 247700 297240 310280 371550 387850 465420 495400 581775 743100 775700 930840 1163550 1486200 1551400 2327100 4654200 19214089 38428178 57642267 76856356 96070445 115284534 153712712 192140890 230569068 288211335 384281780 461138136 480352225 576422670 768563560 960704450 1152845340 1441056675 1921408900 2305690680 2882113350 3842817800 5764226700 11528453400