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11202982272 = 273253183487
BaseRepresentation
bin10100110111011111…
…11111000110000000
31001220202101110120100
422123233333012000
5140420430413042
65051354442400
7544422530616
oct123357770600
931822343510
1011202982272
114829878439
122207a33400
131096cb71c1
14783c2b6b6
154587d724c
hex29bbff180

11202982272 has 96 divisors (see below), whose sum is σ = 32846186880. Its totient is φ = 3663848448.

The previous prime is 11202982249. The next prime is 11202982289. The reversal of 11202982272 is 27228920211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 30688 + ... + 152799.

It is an arithmetic number, because the mean of its divisors is an integer number (342147780).

Almost surely, 211202982272 is an apocalyptic number.

11202982272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11202982272 is an abundant number, since it is smaller than the sum of its proper divisors (21643204608).

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

11202982272 is a wasteful number, since it uses less digits than its factorization.

11202982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183560 (or 183545 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11202982272 in words is "eleven billion, two hundred two million, nine hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3392 3816 5088 6784 7632 10176 15264 20352 30528 61056 183487 366974 550461 733948 1100922 1467896 1651383 2201844 2935792 3302766 4403688 5871584 6605532 8807376 9724811 11743168 13211064 17614752 19449622 23486336 26422128 29174433 35229504 38899244 52844256 58348866 70459008 77798488 87523299 105688512 116697732 155596976 175046598 211377024 233395464 311193952 350093196 466790928 622387904 700186392 933581856 1244775808 1400372784 1867163712 2800745568 3734327424 5601491136 11202982272