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105183006448 = 24133195317117
BaseRepresentation
bin110000111110101100…
…1010100111011110000
3101001111101101100110111
41201331121110323300
53210403322201243
6120153112511104
710412350542322
oct1417531247360
9331441340414
10105183006448
1140676079603
12184756ab494
139bc3555770
14513b55d612
152b0929039d
hex187d654ef0

105183006448 has 80 divisors (see below), whose sum is σ = 226798983936. Its totient is φ = 46927964160.

The previous prime is 105183006413. The next prime is 105183006491. The reversal of 105183006448 is 844600381501.

It is a super-2 number, since 2×1051830064482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105183006448.

It is a congruent number.

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, 6136386 + ... + 6153502.

Almost surely, 2105183006448 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 105183006448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113399491968).

105183006448 is an abundant number, since it is smaller than the sum of its proper divisors (121615977488).

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

105183006448 is a wasteful number, since it uses less digits than its factorization.

105183006448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18122 (or 18116 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

Adding to 105183006448 its reverse (844600381501), we get a palindrome (949783387949).

The spelling of 105183006448 in words is "one hundred five billion, one hundred eighty-three million, six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 953 1612 1906 3224 3812 6448 7624 12389 15248 17117 24778 29543 34234 49556 59086 68468 99112 118172 136936 198224 222521 236344 273872 384059 445042 472688 530627 768118 890084 1061254 1536236 1780168 2122508 3072472 3560336 4245016 6144944 6898151 8490032 13796302 16312501 27592604 32625002 55185208 65250004 110370416 130500008 212062513 261000016 424125026 505687531 848250052 1011375062 1696500104 2022750124 3393000208 4045500248 6573937903 8091000496 13147875806 26295751612 52591503224 105183006448