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1106111552 = 26713257739
BaseRepresentation
bin100000111101101…
…1110110001000000
32212002100021210112
41001323132301000
54231131032202
6301431450452
736260536010
oct10173366100
92762307715
101106111552
11518409a87
1226a526a28
131482106a0
14a6c8dc40
1567191b52
hex41edec40

1106111552 has 112 divisors (see below), whose sum is σ = 2715646080. Its totient is φ = 435290112.

The previous prime is 1106111519. The next prime is 1106111557. The reversal of 1106111552 is 2551116011.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1106111557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1496399 + ... + 1497137.

It is an arithmetic number, because the mean of its divisors is an integer number (24246840).

Almost surely, 21106111552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357823040).

1106111552 is an abundant number, since it is smaller than the sum of its proper divisors (1609534528).

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

1106111552 is a wasteful number, since it uses less digits than its factorization.

1106111552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 23.

The square root of 1106111552 is about 33258.2553962170. The cubic root of 1106111552 is about 1034.1883535373.

Adding to 1106111552 its reverse (2551116011), we get a palindrome (3657227563).

The spelling of 1106111552 in words is "one billion, one hundred six million, one hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 257 364 416 448 514 728 739 832 1028 1456 1478 1799 2056 2912 2956 3341 3598 4112 5173 5824 5912 6682 7196 8224 9607 10346 11824 13364 14392 16448 19214 20692 23387 23648 26728 28784 38428 41384 46774 47296 53456 57568 67249 76856 82768 93548 106912 115136 134498 153712 165536 187096 189923 213824 268996 307424 331072 374192 379846 537992 614848 748384 759692 1075984 1329461 1496768 1519384 2151968 2468999 2658922 3038768 4303936 4937998 5317844 6077536 9875996 10635688 12155072 17282993 19751992 21271376 34565986 39503984 42542752 69131972 79007968 85085504 138263944 158015936 276527888 553055776 1106111552