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11413076224 = 281126072
BaseRepresentation
bin10101010000100010…
…11011100100000000
31002110101201100021211
422220101123210000
5141333221414344
65124301455504
7552553355464
oct125021334400
932411640254
1011413076224
114927425100
122266271594
1310cb696a54
147a3aba4a4
1546be87334
hex2a845b900

11413076224 has 81 divisors (see below), whose sum is σ = 25082220891. Its totient is φ = 5179215360.

The previous prime is 11413076197. The next prime is 11413076231. The reversal of 11413076224 is 42267031411.

The square root of 11413076224 is 106832.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18802129 + ... + 18802735.

Almost surely, 211413076224 is an apocalyptic number.

11413076224 is the 106832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11413076224

11413076224 is an abundant number, since it is smaller than the sum of its proper divisors (13669144667).

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

11413076224 is an frugal number, since it uses more digits than its factorization.

11413076224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

It can be divided in two parts, 11 and 413076224, that multiplied together give a square (4543838464 = 674082).

The spelling of 11413076224 in words is "eleven billion, four hundred thirteen million, seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 607 704 968 1214 1408 1936 2428 2816 3872 4856 6677 7744 9712 13354 15488 19424 26708 30976 38848 53416 73447 77696 106832 146894 155392 213664 293788 368449 427328 587576 736898 854656 1175152 1473796 1709312 2350304 2947592 4052939 4700608 5895184 8105878 9401216 11790368 16211756 18802432 23580736 32423512 44582329 47161472 64847024 89164658 94322944 129694048 178329316 259388096 356658632 518776192 713317264 1037552384 1426634528 2853269056 5706538112 11413076224