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11234896464 = 243113175853
BaseRepresentation
bin10100111011010011…
…01110101001010000
31001222222102212121110
422131221232221100
5141002113141324
65054454453320
7545261021121
oct123551565120
931888385543
1011234896464
114845896000
122216664240
1310a07ac53c
14788178048
1545b4dd329
hex29da6ea50

11234896464 has 80 divisors (see below), whose sum is σ = 31923831744. Its totient is φ = 3404494720.

The previous prime is 11234896433. The next prime is 11234896483. The reversal of 11234896464 is 46469843211.

It is a happy number.

11234896464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24039 + ... + 151814.

Almost surely, 211234896464 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 11234896464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15961915872).

11234896464 is an abundant number, since it is smaller than the sum of its proper divisors (20688935280).

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

11234896464 is a wasteful number, since it uses less digits than its factorization.

11234896464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175897 (or 175869 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 11234896464 in words is "eleven billion, two hundred thirty-four million, eight hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1452 1936 2662 2904 3993 5324 5808 7986 10648 15972 21296 31944 63888 175853 351706 527559 703412 1055118 1406824 1934383 2110236 2813648 3868766 4220472 5803149 7737532 8440944 11606298 15475064 21278213 23212596 30950128 42556426 46425192 63834639 85112852 92850384 127669278 170225704 234060343 255338556 340451408 468120686 510677112 702181029 936241372 1021354224 1404362058 1872482744 2808724116 3744965488 5617448232 11234896464