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13032000016 = 2472711032273
BaseRepresentation
bin11000010001100010…
…01000101000010000
31020122020000012020021
430020301020220100
5203142143000031
65553052553224
7640642113100
oct141061105020
936566005207
1013032000016
115588251552
122638482814
1312c8bc7119
148b8ad9200
15514173511
hex308c48a10

13032000016 has 120 divisors (see below), whose sum is σ = 30087967104. Its totient is φ = 5450618880.

The previous prime is 13031999999. The next prime is 13032000017. The reversal of 13032000016 is 61000023031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13032000017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5732256 + ... + 5734528.

Almost surely, 213032000016 is an apocalyptic number.

13032000016 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 13032000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043983552).

13032000016 is an abundant number, since it is smaller than the sum of its proper divisors (17055967088).

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

13032000016 is a wasteful number, since it uses less digits than its factorization.

13032000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13032000016 its reverse (61000023031), we get a palindrome (74032023047).

The spelling of 13032000016 in words is "thirteen billion, thirty-two million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 103 112 142 196 206 284 392 412 497 568 721 784 824 994 1136 1442 1648 1988 2273 2884 3479 3976 4546 5047 5768 6958 7313 7952 9092 10094 11536 13916 14626 15911 18184 20188 27832 29252 31822 36368 40376 51191 55664 58504 63644 80752 102382 111377 117008 127288 161383 204764 222754 234119 254576 322766 358337 409528 445508 468238 645532 716674 819056 891016 936476 1129681 1291064 1433348 1638833 1782032 1872952 2259362 2582128 2866696 3277666 3745904 4518724 5733392 6555332 7907767 9037448 11471831 13110664 15815534 16622449 18074896 22943662 26221328 31631068 33244898 45887324 63262136 66489796 91774648 116357143 126524272 132979592 183549296 232714286 265959184 465428572 814500001 930857144 1629000002 1861714288 3258000004 6516000008 13032000016