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2013544104 = 2331113683859
BaseRepresentation
bin111100000000100…
…0011111010101000
312012022211122020120
41320001003322220
513110431402404
6531445123240
7100616561655
oct17001037250
95168748216
102013544104
11943658540
124823b9520
1326120a120
141515c2c2c
15bbb8a9d9
hex78043ea8

2013544104 has 128 divisors (see below), whose sum is σ = 5929459200. Its totient is φ = 561749760.

The previous prime is 2013544097. The next prime is 2013544109. The reversal of 2013544104 is 4014453102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2013544109) 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 31 ways as a sum of consecutive naturals, for example, 2343627 + ... + 2344485.

It is an arithmetic number, because the mean of its divisors is an integer number (46323900).

Almost surely, 22013544104 is an apocalyptic number.

2013544104 is a gapful number since it is divisible by the number (24) 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 2013544104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964729600).

2013544104 is an abundant number, since it is smaller than the sum of its proper divisors (3915915096).

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

2013544104 is a wasteful number, since it uses less digits than its factorization.

2013544104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2013544104 is about 44872.5317315616. The cubic root of 2013544104 is about 1262.7587374682.

Adding to 2013544104 its reverse (4014453102), we get a palindrome (6027997206).

The spelling of 2013544104 in words is "two billion, thirteen million, five hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 683 858 859 1144 1366 1716 1718 2049 2577 2732 3432 3436 4098 5154 5464 6872 7513 8196 8879 9449 10308 11167 15026 16392 17758 18898 20616 22334 22539 26637 28347 30052 33501 35516 37796 44668 45078 53274 56694 60104 67002 71032 75592 89336 90156 97669 106548 113388 122837 134004 180312 195338 213096 226776 245674 268008 293007 368511 390676 491348 586014 586697 737022 781352 982696 1172028 1173394 1474044 1760091 2344056 2346788 2948088 3520182 4693576 6453667 7040364 7627061 12907334 14080728 15254122 19361001 22881183 25814668 30508244 38722002 45762366 51629336 61016488 77444004 83897671 91524732 154888008 167795342 183049464 251693013 335590684 503386026 671181368 1006772052 2013544104