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11162860032 = 293291311913
BaseRepresentation
bin10100110010101101…
…11011101000000000
31001210221220001012110
422121112323220000
5140330143010112
65043402455320
7543424513302
oct123126735000
931727801173
1011162860032
114809163a65
1221b6504540
13108b8a9b2c
1477c785972
1545500e13c
hex2995bba00

11162860032 has 160 divisors (see below), whose sum is σ = 31015068480. Its totient is φ = 3563356160.

The previous prime is 11162859989. The next prime is 11162860073. The reversal of 11162860032 is 23006826111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5834308 + ... + 5836220.

It is an arithmetic number, because the mean of its divisors is an integer number (193844178).

Almost surely, 211162860032 is an apocalyptic number.

11162860032 is a gapful number since it is divisible by the number (12) 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 11162860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507534240).

11162860032 is an abundant number, since it is smaller than the sum of its proper divisors (19852208448).

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

11162860032 is a wasteful number, since it uses less digits than its factorization.

11162860032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 11162860032 in words is "eleven billion, one hundred sixty-two million, eight hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 131 174 192 232 256 262 348 384 393 464 512 524 696 768 786 928 1048 1392 1536 1572 1856 1913 2096 2784 3144 3712 3799 3826 4192 5568 5739 6288 7424 7598 7652 8384 11136 11397 11478 12576 14848 15196 15304 16768 22272 22794 22956 25152 30392 30608 33536 44544 45588 45912 50304 55477 60784 61216 67072 91176 91824 100608 110954 121568 122432 166431 182352 183648 201216 221908 243136 244864 250603 332862 364704 367296 443816 486272 489728 501206 665724 729408 734592 751809 887632 972544 979456 1002412 1331448 1458816 1469184 1503618 1775264 1945088 2004824 2662896 2917632 2938368 3007236 3550528 4009648 5325792 5835264 6014472 7101056 7267487 8019296 10651584 12028944 14202112 14534974 16038592 21303168 21802461 24057888 28404224 29069948 32077184 42606336 43604922 48115776 58139896 64154368 85212672 87209844 96231552 116279792 128308736 174419688 192463104 232559584 348839376 384926208 465119168 697678752 930238336 1395357504 1860476672 2790715008 3720953344 5581430016 11162860032