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11060771328 = 293219312437
BaseRepresentation
bin10100100110100010…
…11111101000000000
31001112211210101211100
422103101133220000
5140123024140303
65025314414400
7541045001505
oct122321375000
931484711740
1011060771328
114766576232
122188291400
1310736b4709
1476cdad4ac
1544b0958a3
hex29345fa00

11060771328 has 120 divisors (see below), whose sum is σ = 32090114628. Its totient is φ = 3667525632.

The previous prime is 11060771327. The next prime is 11060771377. The reversal of 11060771328 is 82317706011.

11060771328 is a `hidden beast` number, since 1 + 10 + 607 + 7 + 1 + 32 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9114902784 + 1945868544 = 95472^2 + 44112^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11060771292 and 11060771301.

It is not an unprimeable number, because it can be changed into a prime (11060771327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 883126 + ... + 895562.

Almost surely, 211060771328 is an apocalyptic number.

11060771328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11060771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045057314).

11060771328 is an abundant number, since it is smaller than the sum of its proper divisors (21029343300).

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

11060771328 is a wasteful number, since it uses less digits than its factorization.

11060771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12654 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11060771328 in words is "eleven billion, sixty million, seven hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 256 288 384 386 512 576 579 768 772 1152 1158 1536 1544 1737 2304 2316 3088 3474 4608 4632 6176 6948 9264 12352 12437 13896 18528 24704 24874 27792 37056 37311 49408 49748 55584 74112 74622 98816 99496 111168 111933 148224 149244 198992 222336 223866 296448 298488 397984 444672 447732 596976 795968 889344 895464 1193952 1591936 1790928 2387904 2400341 3183872 3581856 4775808 4800682 6367744 7163712 7201023 9551616 9601364 14327424 14402046 19103232 19202728 21603069 28654848 28804092 38405456 43206138 57309696 57608184 76810912 86412276 115216368 153621824 172824552 230432736 307243648 345649104 460865472 614487296 691298208 921730944 1228974592 1382596416 1843461888 2765192832 3686923776 5530385664 11060771328