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1536643056 = 243131728521
BaseRepresentation
bin101101110010111…
…0100111111110000
310222002110112222210
41123211310333300
511121340034211
6412251332120
753036151624
oct13345647760
93862415883
101536643056
11719438743
1236a751040
131b6481b60
14108121184
158ed869a6
hex5b974ff0

1536643056 has 120 divisors (see below), whose sum is σ = 4541816944. Its totient is φ = 444948480.

The previous prime is 1536643037. The next prime is 1536643079. The reversal of 1536643056 is 6503466351.

It is a happy number.

It is a super-2 number, since 2×15366430562 = 4722543763106038272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176076 + ... + 184596.

Almost surely, 21536643056 is an apocalyptic number.

1536643056 is a gapful number since it is divisible by the number (16) 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 1536643056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270908472).

1536643056 is an abundant number, since it is smaller than the sum of its proper divisors (3005173888).

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

1536643056 is a wasteful number, since it uses less digits than its factorization.

1536643056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 1536643056 is about 39200.0389795725. The cubic root of 1536643056 is about 1153.9606489269.

The spelling of 1536643056 in words is "one billion, five hundred thirty-six million, six hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 289 312 408 442 578 624 663 816 867 884 1156 1326 1734 1768 2312 2652 3468 3536 3757 4624 5304 6936 7514 8521 10608 11271 13872 15028 17042 22542 25563 30056 34084 45084 51126 60112 68168 90168 102252 110773 136336 144857 180336 204504 221546 289714 332319 409008 434571 443092 579428 664638 869142 886184 1158856 1329276 1738284 1772368 1883141 2317712 2462569 2658552 3476568 3766282 4925138 5317104 5649423 6953136 7387707 7532564 9850276 11298846 14775414 15065128 19700552 22597692 29550828 30130256 32013397 39401104 45195384 59101656 64026794 90390768 96040191 118203312 128053588 192080382 256107176 384160764 512214352 768321528 1536643056