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2013445512 = 23361326557
BaseRepresentation
bin111100000000010…
…1011110110001000
312012022122122000000
41320000223312020
513110420224022
6531443043000
7100616001351
oct17000536610
95168578000
102013445512
119435a0461
12482370460
132611a42a0
14151598d28
15bbb6b6ac
hex7802bd88

2013445512 has 112 divisors (see below), whose sum is σ = 6095857740. Its totient is φ = 619498368.

The previous prime is 2013445481. The next prime is 2013445513. The reversal of 2013445512 is 2155443102.

2013445512 is a `hidden beast` number, since 201 + 3 + 4 + 455 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1917914436 + 95531076 = 43794^2 + 9774^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2013445513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 62538 + ... + 89094.

Almost surely, 22013445512 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 2013445512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047928870).

2013445512 is an abundant number, since it is smaller than the sum of its proper divisors (4082412228).

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

2013445512 is a wasteful number, since it uses less digits than its factorization.

2013445512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26594 (or 26575 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2013445512 is about 44871.4331395822. The cubic root of 2013445512 is about 1262.7381270528.

Adding to 2013445512 its reverse (2155443102), we get a palindrome (4168888614).

The spelling of 2013445512 in words is "two billion, thirteen million, four hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 4212 5832 6318 8424 9477 12636 18954 25272 26557 37908 53114 75816 79671 106228 159342 212456 239013 318684 345241 478026 637368 690482 717039 956052 1035723 1380964 1434078 1912104 2071446 2151117 2761928 2868156 3107169 4142892 4302234 5736312 6214338 6453351 8285784 8604468 9321507 12428676 12906702 17208936 18643014 19360053 24857352 25813404 27964521 37286028 38720106 51626808 55929042 74572056 77440212 83893563 111858084 154880424 167787126 223716168 251680689 335574252 503361378 671148504 1006722756 2013445512