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2653053144 = 2337192713067
BaseRepresentation
bin1001111000100010…
…0110000011011000
320211220012001201120
42132020212003120
520413140200034
61115132045240
7122513402550
oct23610460330
96756161646
102653053144
111141641105
12620603820
13333859c41
141b24d2160
15107daec49
hex9e2260d8

2653053144 has 128 divisors (see below), whose sum is σ = 8011161600. Its totient is φ = 715236480.

The previous prime is 2653053127. The next prime is 2653053149. The reversal of 2653053144 is 4413503562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653053149) 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, 863499 + ... + 866565.

It is an arithmetic number, because the mean of its divisors is an integer number (62587200).

Almost surely, 22653053144 is an apocalyptic number.

2653053144 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 2653053144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005580800).

2653053144 is an abundant number, since it is smaller than the sum of its proper divisors (5358108456).

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

2653053144 is a wasteful number, since it uses less digits than its factorization.

2653053144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2653053144 is about 51507.7969243492. The cubic root of 2653053144 is about 1384.3587493156.

The spelling of 2653053144 in words is "two billion, six hundred fifty-three million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 271 399 456 532 542 798 813 1064 1084 1596 1626 1897 2168 3067 3192 3252 3794 5149 5691 6134 6504 7588 9201 10298 11382 12268 15176 15447 18402 20596 21469 22764 24536 30894 36043 36804 41192 42938 45528 58273 61788 64407 72086 73608 85876 108129 116546 123576 128814 144172 171752 174819 216258 233092 257628 288344 349638 407911 432516 466184 515256 699276 815822 831157 865032 1223733 1398552 1631644 1662314 2447466 2493471 3263288 3324628 4894932 4986942 5818099 6649256 9789864 9973884 11636198 15791983 17454297 19947768 23272396 31583966 34908594 46544792 47375949 63167932 69817188 94751898 110543881 126335864 139634376 189503796 221087762 331631643 379007592 442175524 663263286 884351048 1326526572 2653053144